SAT: Geometry & Trig - Right Angles & Trig

Posljednje ažuriranje 4 months ago

54 questions

SAT: Geometry & Trig - Right Angles & Trig

Posljednje ažuriranje 4 months ago

54 questions

A triangle with angle measures 30°, 60°, and 90° has a perimeter of $18 + 6\sqrt{3}$. What is the length of the longest side of the triangle?

In the triangle shown, what is the value of $x$?

For two acute angles, $\angle Q$ and $\angle R$, $\cos(Q) = \sin(R)$. The measures, in degrees, of $\angle Q$ and $\angle R$ are $x + 61$ and $4x + 4$, respectively. What is the value of $x$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\cos x^\circ$?

In triangle $JKL$, $\cos(K) = \dfrac{24}{51}$ and angle $J$ is a right angle. What is the value of $\cos(L)$?

In the figure above, is parallel to .
What is the length of ?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angle $C$ corresponds to angle $F$. Angles $C$ and $F$ are right angles. If $\tan(A) = \frac{50}{7}$, what is the value of $\tan(E)$?

Note: Figure not drawn to scale.
In the triangle shown, $RS = \sqrt{105}$. What is the value of $\sin R$?

In the right triangle shown above, what is the length of $\overline{PQ}$?

In a right triangle, the tangent of one of the two acute angles is $\frac{\sqrt{3}}{3}$. What is the tangent of the other acute angle?

$-\frac{\sqrt{3}}{3}$

$-\frac{3}{\sqrt{3}}$

$\frac{\sqrt{3}}{3}$

$\frac{3}{\sqrt{3}}$

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. The length of $\overline{AB}$ is 2.9 times the length of $\overline{DE}$. If $\tan A = \dfrac{21}{20}$, what is the value of $\sin D$?

A square is inscribed in a circle. The radius of the circle is $\dfrac{20\sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?

$\dfrac{20\sqrt{2}}{2}$

$20\sqrt{2}$

The length of a rectangle’s diagonal is $5\sqrt{17}$, and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?

$\sqrt{17}$

$15\sqrt{2}$

400

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $x$?

$30^\circ$

$45^\circ$

$60^\circ$

$90^\circ$

Note: Figure not drawn to scale.
For the right triangle shown, $a = 4$ and $b = 5$. Which expression represents the value of $c$?

$4 + 5$

$\sqrt{(4)(5)}$

$\sqrt{4 + 5}$

$\sqrt{4^{2} + 5^{2}}$

Which of the following expressions is equivalent to $(\sin 24^\circ)(\cos 66^\circ) + (\cos 24^\circ)(\sin 66^\circ)$?

$2(\cos 66^\circ)(\sin 24^\circ)$

$2(\cos 66^\circ) + 2(\cos 24^\circ)$

$(\cos 66^\circ)^{2} + (\cos 24^\circ)^{2}$

$(\cos 66^\circ)^{2} + (\sin 24^\circ)^{2}$

Note: Figure not drawn to scale.
In the right triangle shown, which of the following is closest to the value of $c$?

7.5

10.8

58.5

The length of a rectangle’s diagonal is $3\sqrt{17}$, and the length of the rectangle’s shorter side is $3$. What is the length of the rectangle’s longer side?

In $\triangle ABC$ above, what is the length of $\overline{AD}$?

$6\sqrt{2}$

$6\sqrt{3}$

Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $G$ and $K$ are right angles. If $\sin(F)=\dfrac{308}{317}$, what is the value of $\sin(J)$?

$\dfrac{75}{317}$

$\dfrac{308}{317}$

$\dfrac{317}{308}$

$\dfrac{317}{75}$

In right triangle $RST$, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\dfrac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

$\dfrac{\sqrt{15}}{15}$

$\dfrac{\sqrt{15}}{4}$

$\dfrac{4\sqrt{15}}{15}$

$\sqrt{15}$

In triangle $XYZ$, angle $Z$ is a right angle and the length of $\overline{YZ}$ is 24 units. If $\tan X = \frac{12}{35}$, what is the perimeter, in units, of triangle $XYZ$?

188

168

Note: Figure not drawn to scale.
Triangle $XYZ$ shown is a right triangle. Which of the following has the same value as $\sin X$?

$\tan X$

$\tan Y$

$\cos X$

$\cos Y$

In the figure above, what is the value of $\tan(A)$?

$\dfrac{20}{29}$

$\dfrac{21}{29}$

$\dfrac{20}{21}$

$\dfrac{21}{20}$

Note: Figure not drawn to scale.
What is the value of $\cos A$ in the triangle shown?

$\dfrac{42}{41}$

$\dfrac{41}{42}$

$\dfrac{1}{42}$

$\dfrac{1}{41}$

In triangle $XYZ$, angle $Y$ is a right angle, the measure of angle $Z$ is $33^\circ$, and the length of $\overline{YZ}$ is 26 units. If the area, in square units, of triangle $XYZ$ can be represented by the expression $k \tan 33^\circ$, where $k$ is a constant, what is the value of $k$?

Triangle $ABC$ above is a right triangle, and $\sin(B) = \frac{5}{13}$.
What is the length of side $\overline{BC}$?

In the right triangle shown, what is the value of $\sin A$?

$\dfrac{1}{171}$

$\dfrac{35}{171}$

$\dfrac{171}{35}$

$171$

Note: Figure not drawn to scale.
The lengths of the legs of a right triangle are shown. Which of the following is closest to the length of the triangle's hypotenuse?

3.2

7.6

Note: Figure not drawn to scale.
Which equation shows the relationship between the side lengths of the given triangle?

$4b = 19$

$4 + b = 19$

$4^{2} + b^{2} = 19^{2}$

$4^{2} - b^{2} = 19^{2}$

The perimeter of an isosceles right triangle is $18 + 18\sqrt{2}$ inches. What is the length, in inches, of the hypotenuse of this triangle?

$9\sqrt{2}$

$18\sqrt{2}$

Note: Figure not drawn to scale.
Right triangle $ABC$ is shown. What is the value of $\tan A$?

$\dfrac{\sqrt{3}}{54}$

$\dfrac{1}{\sqrt{3}}$

$\sqrt{3}$

$27\sqrt{3}$

In the triangle shown, what is the value of $\sin x^\circ$?

In $\triangle ABC$, $\angle B$ is a right angle and the length of $\overline{BC}$ is 136 millimeters. If $\cos A = \frac{3}{5}$, what is the length, in millimeters, of $\overline{AB}$?

102

136

170

A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?

$2\sqrt{3}$

$4\sqrt{3}$

$8\sqrt{3}$

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\tan x^\circ$?

$\dfrac{1}{26}$

$\dfrac{19}{26}$

$\dfrac{26}{7}$

$\dfrac{33}{7}$

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is $k\sqrt{3}$ centimeters, where $k$ is a constant. What is the value of $k$?

ID: 498d6795
In triangle $ABC$, angle $B$ is a right angle. The length of side $AB$ is $10\sqrt{37}$ and the length of side $BC$ is $24\sqrt{37}$. What is the length of side $AC$?

$14\sqrt{37}$

$26\sqrt{37}$

$34\sqrt{37}$

$\sqrt{34\cdot37}$

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$, and angles $C$ and $F$ are right angles. If $\cos B = \frac{1}{22}$, what is the value of $\cos E$?

$\frac{1}{22}$

$\frac{1}{23}$

$\frac{21}{22}$

$\frac{22}{23}$

In the figure above, $\tan B = \frac{3}{4}$. If $BC = 15$ and $DA = 4$, what is the length of $\overline{DE}$?

Right triangle with hypotenuse 21, vertical leg 6, and horizontal leg labeled $a$. Note: Figure not drawn to scale.
For the triangle shown, which expression represents the value of $a$?

$\sqrt{21^{2} - 6^{2}}$

$21^{2} - 6^{2}$

$\sqrt{21 - 6}$

$21 - 6$

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

$29\sqrt{2}$

$58\sqrt{2}$

$58 + 58\sqrt{2}$

$58 + 116\sqrt{2}$

A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is $1{,}089\sqrt{3}$ square units. What is the length, in units, of the diameter of the circle?

One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse of the triangle has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?

43.2

120

192

201.5

The perimeter of an equilateral triangle is 852 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is $w\sqrt{3}$ centimeters. What is the value of $w$?

An isosceles right triangle has a perimeter of $94 + 94\sqrt{2}$ inches. What is the length, in inches, of one leg of this triangle?

$47\sqrt{2}$

$94\sqrt{2}$

$RS = 440$
$ST = 384$
$TR = 584$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

$\dfrac{48}{73}$

$\dfrac{55}{73}$

$\dfrac{48}{55}$

$\dfrac{55}{48}$

Note: Figure not drawn to scale.
In the right triangle shown, what is the value of $\sin x^\circ$?

$\dfrac{1}{73}$

$\dfrac{10}{73}$

$\dfrac{63}{73}$

$\dfrac{136}{73}$

ID: f811d345
A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form $3\sqrt{d}$, where $d$ is an integer, what is the value of $d$?

$RS = 20$
$ST = 48$
$TR = 52$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

$\dfrac{5}{13}$

$\dfrac{5}{12}$

$\dfrac{12}{13}$

$\dfrac{12}{5}$

In triangle $RST$ above, point $W$ (not shown) lies on $\overline{RT}$. What is the value of $\cos(\angle RSW)-\sin(\angle WST)$?

A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

$8\sqrt{6}$

$4\sqrt{74}$

$48$

$1{,}184$

Triangle $ABC$ is similar to triangle $DEF$, where $A$ corresponds to $D$ and $C$ corresponds to $F$. Angles $C$ and $F$ are right angles. If $\tan(A)=\sqrt{3}$ and $DF=125$, what is the length of $DE$?

$125\frac{\sqrt{3}}{3}$

$125\frac{\sqrt{3}}{2}$

$125\sqrt{3}$

$250$

A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

$\sqrt{40}$

$\sqrt{202}$

202

SAT: Geometry & Trig - Right Angles & Trig

SAT: Geometry & Trig - Right Angles & Trig

A triangle with angle measures 30°, 60°, and 90° has a perimeter of $18 + 6\sqrt{3}$. What is the length of the longest side of the triangle?

In the triangle shown, what is the value of $x$?

For two acute angles, $\angle Q$ and $\angle R$, $\cos(Q) = \sin(R)$. The measures, in degrees, of $\angle Q$ and $\angle R$ are $x + 61$ and $4x + 4$, respectively. What is the value of $x$?

Note: Figure not drawn to scale.In the triangle shown, what is the value of $\cos x^\circ$?

In triangle $JKL$, $\cos(K) = \dfrac{24}{51}$ and angle $J$ is a right angle. What is the value of $\cos(L)$?

In the figure above, is parallel to .What is the length of ?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angle $C$ corresponds to angle $F$. Angles $C$ and $F$ are right angles. If $\tan(A) = \frac{50}{7}$, what is the value of $\tan(E)$?

Note: Figure not drawn to scale.In the triangle shown, $RS = \sqrt{105}$. What is the value of $\sin R$?

In the right triangle shown above, what is the length of $\overline{PQ}$?

In a right triangle, the tangent of one of the two acute angles is $\frac{\sqrt{3}}{3}$. What is the tangent of the other acute angle?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. The length of $\overline{AB}$ is 2.9 times the length of $\overline{DE}$. If $\tan A = \dfrac{21}{20}$, what is the value of $\sin D$?

A square is inscribed in a circle. The radius of the circle is $\dfrac{20\sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?

The length of a rectangle’s diagonal is $5\sqrt{17}$, and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?

Note: Figure not drawn to scale.In the triangle shown, what is the value of $x$?

Note: Figure not drawn to scale.For the right triangle shown, $a = 4$ and $b = 5$. Which expression represents the value of $c$?

Which of the following expressions is equivalent to $(\sin 24^\circ)(\cos 66^\circ) + (\cos 24^\circ)(\sin 66^\circ)$?

Note: Figure not drawn to scale.In the right triangle shown, which of the following is closest to the value of $c$?

The length of a rectangle’s diagonal is $3\sqrt{17}$, and the length of the rectangle’s shorter side is $3$. What is the length of the rectangle’s longer side?

In $\triangle ABC$ above, what is the length of $\overline{AD}$?

Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $G$ and $K$ are right angles. If $\sin(F)=\dfrac{308}{317}$, what is the value of $\sin(J)$?

In right triangle $RST$, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\dfrac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

In triangle $XYZ$, angle $Z$ is a right angle and the length of $\overline{YZ}$ is 24 units. If $\tan X = \frac{12}{35}$, what is the perimeter, in units, of triangle $XYZ$?

Note: Figure not drawn to scale.Triangle $XYZ$ shown is a right triangle. Which of the following has the same value as $\sin X$?

In the figure above, what is the value of $\tan(A)$?

Note: Figure not drawn to scale.What is the value of $\cos A$ in the triangle shown?

In triangle $XYZ$, angle $Y$ is a right angle, the measure of angle $Z$ is $33^\circ$, and the length of $\overline{YZ}$ is 26 units. If the area, in square units, of triangle $XYZ$ can be represented by the expression $k \tan 33^\circ$, where $k$ is a constant, what is the value of $k$?

Triangle $ABC$ above is a right triangle, and $\sin(B) = \frac{5}{13}$.What is the length of side $\overline{BC}$?

In the right triangle shown, what is the value of $\sin A$?

Note: Figure not drawn to scale.The lengths of the legs of a right triangle are shown. Which of the following is closest to the length of the triangle's hypotenuse?

Note: Figure not drawn to scale.Which equation shows the relationship between the side lengths of the given triangle?

The perimeter of an isosceles right triangle is $18 + 18\sqrt{2}$ inches. What is the length, in inches, of the hypotenuse of this triangle?

Note: Figure not drawn to scale.Right triangle $ABC$ is shown. What is the value of $\tan A$?

In the triangle shown, what is the value of $\sin x^\circ$?

In $\triangle ABC$, $\angle B$ is a right angle and the length of $\overline{BC}$ is 136 millimeters. If $\cos A = \frac{3}{5}$, what is the length, in millimeters, of $\overline{AB}$?

Note: Figure not drawn to scale.In the triangle shown, what is the value of $\tan x^\circ$?

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is $k\sqrt{3}$ centimeters, where $k$ is a constant. What is the value of $k$?

ID: 498d6795In triangle $ABC$, angle $B$ is a right angle. The length of side $AB$ is $10\sqrt{37}$ and the length of side $BC$ is $24\sqrt{37}$. What is the length of side $AC$?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$, and angles $C$ and $F$ are right angles. If $\cos B = \frac{1}{22}$, what is the value of $\cos E$?

In the figure above, $\tan B = \frac{3}{4}$. If $BC = 15$ and $DA = 4$, what is the length of $\overline{DE}$?

Right triangle with hypotenuse 21, vertical leg 6, and horizontal leg labeled $a$. Note: Figure not drawn to scale.For the triangle shown, which expression represents the value of $a$?

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse of the triangle has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?

The perimeter of an equilateral triangle is 852 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is $w\sqrt{3}$ centimeters. What is the value of $w$?

An isosceles right triangle has a perimeter of $94 + 94\sqrt{2}$ inches. What is the length, in inches, of one leg of this triangle?

$RS = 440$$ST = 384$$TR = 584$The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

Note: Figure not drawn to scale.In the right triangle shown, what is the value of $\sin x^\circ$?

ID: f811d345A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form $3\sqrt{d}$, where $d$ is an integer, what is the value of $d$?

$RS = 20$$ST = 48$$TR = 52$The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

In triangle $RST$ above, point $W$ (not shown) lies on $\overline{RT}$. What is the value of $\cos(\angle RSW)-\sin(\angle WST)$?

A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

Triangle $ABC$ is similar to triangle $DEF$, where $A$ corresponds to $D$ and $C$ corresponds to $F$. Angles $C$ and $F$ are right angles. If $\tan(A)=\sqrt{3}$ and $DF=125$, what is the length of $DE$?

A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

A triangle with angle measures 30°, 60°, and 90° has a perimeter of $18 + 6\sqrt{3}$. What is the length of the longest side of the triangle?

In the triangle shown, what is the value of $x$?

For two acute angles, $\angle Q$ and $\angle R$, $\cos(Q) = \sin(R)$. The measures, in degrees, of $\angle Q$ and $\angle R$ are $x + 61$ and $4x + 4$, respectively. What is the value of $x$?

Note: Figure not drawn to scale.In the triangle shown, what is the value of $\cos x^\circ$?

In triangle $JKL$, $\cos(K) = \dfrac{24}{51}$ and angle $J$ is a right angle. What is the value of $\cos(L)$?

In the figure above, is parallel to .What is the length of ?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angle $C$ corresponds to angle $F$. Angles $C$ and $F$ are right angles. If $\tan(A) = \frac{50}{7}$, what is the value of $\tan(E)$?

Note: Figure not drawn to scale.In the triangle shown, $RS = \sqrt{105}$. What is the value of $\sin R$?

In the right triangle shown above, what is the length of $\overline{PQ}$?

In a right triangle, the tangent of one of the two acute angles is $\frac{\sqrt{3}}{3}$. What is the tangent of the other acute angle?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. The length of $\overline{AB}$ is 2.9 times the length of $\overline{DE}$. If $\tan A = \dfrac{21}{20}$, what is the value of $\sin D$?

A square is inscribed in a circle. The radius of the circle is $\dfrac{20\sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?

The length of a rectangle’s diagonal is $5\sqrt{17}$, and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?

Note: Figure not drawn to scale.In the triangle shown, what is the value of $x$?

Note: Figure not drawn to scale.For the right triangle shown, $a = 4$ and $b = 5$. Which expression represents the value of $c$?

Which of the following expressions is equivalent to $(\sin 24^\circ)(\cos 66^\circ) + (\cos 24^\circ)(\sin 66^\circ)$?

Note: Figure not drawn to scale.In the right triangle shown, which of the following is closest to the value of $c$?

The length of a rectangle’s diagonal is $3\sqrt{17}$, and the length of the rectangle’s shorter side is $3$. What is the length of the rectangle’s longer side?

In $\triangle ABC$ above, what is the length of $\overline{AD}$?

Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $G$ and $K$ are right angles. If $\sin(F)=\dfrac{308}{317}$, what is the value of $\sin(J)$?

In right triangle $RST$, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\dfrac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

In triangle $XYZ$, angle $Z$ is a right angle and the length of $\overline{YZ}$ is 24 units. If $\tan X = \frac{12}{35}$, what is the perimeter, in units, of triangle $XYZ$?

Note: Figure not drawn to scale.Triangle $XYZ$ shown is a right triangle. Which of the following has the same value as $\sin X$?

In the figure above, what is the value of $\tan(A)$?

Note: Figure not drawn to scale.What is the value of $\cos A$ in the triangle shown?

In triangle $XYZ$, angle $Y$ is a right angle, the measure of angle $Z$ is $33^\circ$, and the length of $\overline{YZ}$ is 26 units. If the area, in square units, of triangle $XYZ$ can be represented by the expression $k \tan 33^\circ$, where $k$ is a constant, what is the value of $k$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\cos x^\circ$?

In the figure above, is parallel to .
What is the length of ?

Note: Figure not drawn to scale.
In the triangle shown, $RS = \sqrt{105}$. What is the value of $\sin R$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $x$?

Note: Figure not drawn to scale.
For the right triangle shown, $a = 4$ and $b = 5$. Which expression represents the value of $c$?

Note: Figure not drawn to scale.
In the right triangle shown, which of the following is closest to the value of $c$?

Note: Figure not drawn to scale.
Triangle $XYZ$ shown is a right triangle. Which of the following has the same value as $\sin X$?

Note: Figure not drawn to scale.
What is the value of $\cos A$ in the triangle shown?

Triangle $ABC$ above is a right triangle, and $\sin(B) = \frac{5}{13}$.
What is the length of side $\overline{BC}$?

Note: Figure not drawn to scale.
The lengths of the legs of a right triangle are shown. Which of the following is closest to the length of the triangle's hypotenuse?

Note: Figure not drawn to scale.
Which equation shows the relationship between the side lengths of the given triangle?

Note: Figure not drawn to scale.
Right triangle $ABC$ is shown. What is the value of $\tan A$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\tan x^\circ$?

ID: 498d6795
In triangle $ABC$, angle $B$ is a right angle. The length of side $AB$ is $10\sqrt{37}$ and the length of side $BC$ is $24\sqrt{37}$. What is the length of side $AC$?

Right triangle with hypotenuse 21, vertical leg 6, and horizontal leg labeled $a$. Note: Figure not drawn to scale.
For the triangle shown, which expression represents the value of $a$?

$RS = 440$
$ST = 384$
$TR = 584$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

Note: Figure not drawn to scale.
In the right triangle shown, what is the value of $\sin x^\circ$?

ID: f811d345
A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form $3\sqrt{d}$, where $d$ is an integer, what is the value of $d$?

$RS = 20$
$ST = 48$
$TR = 52$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\cos x^\circ$?

In the figure above, is parallel to .
What is the length of ?

Note: Figure not drawn to scale.
In the triangle shown, $RS = \sqrt{105}$. What is the value of $\sin R$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $x$?

Note: Figure not drawn to scale.
For the right triangle shown, $a = 4$ and $b = 5$. Which expression represents the value of $c$?

Note: Figure not drawn to scale.
In the right triangle shown, which of the following is closest to the value of $c$?

Note: Figure not drawn to scale.
Triangle $XYZ$ shown is a right triangle. Which of the following has the same value as $\sin X$?

Note: Figure not drawn to scale.
What is the value of $\cos A$ in the triangle shown?

Triangle $ABC$ above is a right triangle, and $\sin(B) = \frac{5}{13}$.
What is the length of side $\overline{BC}$?

Note: Figure not drawn to scale.
The lengths of the legs of a right triangle are shown. Which of the following is closest to the length of the triangle's hypotenuse?

Note: Figure not drawn to scale.
Which equation shows the relationship between the side lengths of the given triangle?

Note: Figure not drawn to scale.
Right triangle $ABC$ is shown. What is the value of $\tan A$?

Note: Figure not drawn to scale.
In the triangle shown, what is the value of $\tan x^\circ$?

ID: 498d6795
In triangle $ABC$, angle $B$ is a right angle. The length of side $AB$ is $10\sqrt{37}$ and the length of side $BC$ is $24\sqrt{37}$. What is the length of side $AC$?

Right triangle with hypotenuse 21, vertical leg 6, and horizontal leg labeled $a$. Note: Figure not drawn to scale.
For the triangle shown, which expression represents the value of $a$?

$RS = 440$
$ST = 384$
$TR = 584$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

Note: Figure not drawn to scale.
In the right triangle shown, what is the value of $\sin x^\circ$?

ID: f811d345
A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form $3\sqrt{d}$, where $d$ is an integer, what is the value of $d$?

$RS = 20$
$ST = 48$
$TR = 52$
The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?