Pythagorean Theorem Tree

Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.

• 450 feet

• 225 feet

• 338 feet

• 90 feet

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 minimum length of lights Mrs. Gonzales will need?

• 5 ft

• 7 ft

• 10 ft

• 14 ft

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

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

What is the closest length of the walkway?

• 36 ft

• 24 ft

• 17 ft

• 13 ft

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

• 18 ft

• 16 ft

• 12 ft

• 8 ft

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

Nick put a ladder against the tree so he could climb up and rescue his cat. The cat was 12 ft up in the tree. He had the ladder 3 ft away from the base of the tree. How long was the ladder? Round your answer to the nearest tenth. TYPE NUMBER ONLY (NO Units)

Mathematical Equivalence

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