Pythagorean Theorem

A shadow box used to hold an American flag is in the shape of an isosceles right triangle. One of the legs of the triangle measures 10 inches. What is the approximate length of the longest side of the shadow box?

• 10 in

• 14 in

• 25 in

• 100 in

Scuba divers must fly a dive flag on the surface of the water when they are on a dive. Dive flags are red with a white diagonal stripe.

If the dive flag pictured above measures 12 inches by 16 inches, about how long is the length of the diagonal stripe?

• 4 in

• 10.5 in

• 20 in

• 400 in

A small tree is staked to give it strength as it grows.

A 10 foot long wire is attached to the tree at a height of 6 feet.What is the distance from the bottom of the tree to the stake?

• 4 ft

• 8 ft

• 12 ft

• 32 ft

A photograph is placed inside a frame. If the photograph and frame are similar, find x, the length of the frame.

• 8 in

• 12 in

• 12.5 in

• 14 in

Which of the models below does NOT represent a right triangle?

• 8ft, 15ft, 17ft

• 9ft, 12ft, 15ft

• 5ft, 12ft, 13ft

• 6ft, 8ft, 12ft

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

Find x

• 10 mi

• 30 mi

• 60 mi

• 90 mi

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