Models with Pythagorean Theorem

Julia is trying to arrange 3 squares so that they form a right triangle as shown below. One of the squares she is using has an area of 81 square centimeters and another 1 has an area of 225 square centimeters. Which of the following could be the side length of her third square so that she can complete her task?

• 9 cm

• 12 cm

• 15 cm

• 144 cm

What is the closest length of the walkway?

• 36 ft

• 24 ft

• 17 ft

• 13 ft

What is the minimum length of lights Mrs. Gonzales will need?

• 5 ft

• 7 ft

• 10 ft

• 14 ft

How far up the side of the building does the ladder reach?

• 18 ft

• 16 ft

• 12 ft

• 8 ft

Find the value of x.

Mathematical Equivalence

ON

Solve for the length indicated.

• 9

• 10

• 11

• 12

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Find the missing length.

• 12

• 10

• 16

• 5