30-60-90 triangle discovery

Last updated almost 5 years ago

19 questions

0

1

0.5

2

Last updated almost 5 years ago

19 questions

0

Who is in your group (first and last names)?

1

1

1

0.5

0.5

0.5

0.5

2

2

SAS

AA

SSS

2a

a

a/2

√a

a

2a

√2a

a√3

2

√2

√3

3

equilateral, equal

isosceles right, equal

equilateral right, equal

scalene right, not equal

2

√2

√3

3

2

√2

√3

3

True

False

10

5√2

10√2

5

12√2

6√2

3√2

5

4√3 / 2

9√3

(9√3) / 2

7

What similarity theorem(s) explain how all 30-60-90 triangles are similar? Select all correct answer(s):

SAS

AA

SSS

Consider one side of the equilateral triangle you just made in the  orientation below. How can you represent x in terms of a?

2a

a

a/2

√a

Use the Pythagorean Theorem on the triangle below to express y in terms of a. Be sure to reduce and rationalize radicals.

a

2a

√2a

a√3

In a 45-45-90 triangle, the hypotenuse is ____ times as long as a leg.

2

√2

√3

3

A 45-45-90 triangle is a(n) _____ triangle, so the legs are _____.

equilateral, equal

isosceles right, equal

equilateral right, equal

scalene right, not equal

In a 30-60-90 triangle, the hypotenuse is ____ times as long as the shortest leg.

2

√2

√3

3

In a 30-60-90 triangle, the longer leg is ____ times as long as the shortest leg.

2

√2

√3

3

In a 30-60-90 triangle, the shortest side is across from the smallest angle.

True

False

What is the value of x?

10

5√2

10√2

5

What is the value of x?

12√2

6√2

3√2

5

What is the exact value of x?

4√3 / 2

9√3

(9√3) / 2

7