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Laabri

HG U5D1 Pythagorean Triples Oct7

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Last updated about 1 year ago
21 Nsɛmmisa

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

You’re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 15 feet from the house.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

What kind of triangle is it?

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

acute triangle

arrow_right_alt

right triangle

arrow_right_alt

obtuse triangle

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

What kind of triangle is it?

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

acute triangle

arrow_right_alt

right triangle

arrow_right_alt

obtuse triangle

arrow_right_alt

Penrose Triangle - Can be drawn, but does not exist.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What kind of triangle is it?

Draggable itemarrow_right_altCorresponding Item

a triangle with one 90 degree angles and two acute angles.

arrow_right_alt

acute triangle

a triangle with one angle greater than 90 degrees and two acute angles.

arrow_right_alt

right triangle

a triangle with a right angle, an obtuse angle and one acute angle.

arrow_right_alt

obtuse triangle

a triangle with three acute angles.

arrow_right_alt

Does not exist

What kind of triangle is it?

What kind of triangle is it?

The sides of a triangle are 60, 75 and 45.

Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

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Asemmisa {{asɛmmisaAhyɛnsode}}
5.

The length of the smallest side is units.

The length of the largest side is units.

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Asemmisa {{asɛmmisaAhyɛnsode}}
6.

The sides of a triangle are 60, 75 and 45.

The sum of the square of the two smaller sides =

=

The larger side squared =

=

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Asemmisa {{asɛmmisaAhyɛnsode}}
7.

The sides of a triangle are 60, 75 and 45.

Fill in the blank with =, <, or >.

a2 + b2 c2

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What kind of triangle is it?

What kind of triangle is it?

The sides of a triangle are 84, 50 and 38.

Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

The length of the smallest side is units.

The length of the largest side is units.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

The sides of a triangle are 84, 50 and 38.

The sum of the square of the two smaller sides =

=

The larger side squared =

=

1
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

The sides of a triangle are 84, 50 and 38.

Fill in the blank with =, <, or >.

a2 + b2 c2

1

Use Pythagorean Triples as a short cut to the theorem.

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Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What is the length of the missing side?

a =

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Asemmisa {{asɛmmisaAhyɛnsode}}
14.

What is the length of the missing side?

b =

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Asemmisa {{asɛmmisaAhyɛnsode}}
15.

What is the length of the missing side?

c =

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Asemmisa {{asɛmmisaAhyɛnsode}}
16.

What is the length of the missing side?

d =

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Which of these triangles are definitely right triangles?

Explain to your neighbor how you know using a foreign language or accent.

(Note that not all triangles are drawn to scale.)

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

In each of the questions below, x and y represent the length of the legs of a right triangle, and z represents the length of its hypotenuse. Find the missing length, given the other two lengths.

a. x = 12, y = 5, z =

b. x = , y = 21, z = 29

c. x = 21, y = , z = 35

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Given the information provided for the right triangles shown here, find the unknown leg lengths. Use the exact answer or round to the nearest tenth.

a =

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Given the information provided for the right triangles shown here, find the unknown leg lengths. Use the exact answer or round to the nearest tenth.

x =

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

What kind of triangle is it?

The sides of a triangle are 60, 75 and 45.

Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What kind of triangle is it?

The sides of a triangle are 84, 50 and 38.

Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.