Unknown Leg Lengths in Right Triangles Answers…

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Which equation could be used to find the length of the hypotenuse?

6 squared + 11 squared = c squared

6 squared + c squared = 11 squared

c squared minus 6 squared = 11 squared

11 squared minus 6 squared = c squared

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Which equation could be used to find the length of the hypotenuse?

5 squared + 8 squared = c squared

5 squared + c squared = 8 squared

c squared minus 5 squared = 8 squared

8 squared minus 5 squared = c squared

What is the length of the unknown leg in the right triangle?

8 yd

64 yd

Which is the length of the hypotenuse of the triangle?

33 ft

37 ft

Which equation can be used to find the unknown length, b, in this triangle?

4 squared + b squared = 5 squared

4 squared minus b squared = 5 squared

5 squared + 4 squared = b squared

5 squared + b squared = 4 squared

Which triangle’s unknown side length measures units?

A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.

A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.

A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.

A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.

What is the length of the hypotenuse of the triangle?

26 ft

34 ft

68 ft

74 ft

What is the length of the hypotenuse of the triangle?

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

He did not square 40, he just multiplied by 2.

He did not finish the problem. He should have divided 161 by 2 to find the square root.

He should have added 9 + 9 to find the value of .

He should have subtracted the two squares to get because numbers get too large if both legs are squared and then added together.

How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.

14.5 ft

15.5 ft

17.0 ft

19.0 ft

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.Select the four true statements regarding the side lengths Mrs. Ibarra chose.

, so the side lengths will form a triangle.

, so those lengths will not form a triangle.

15 squared + 36 squared = 1,521

41 squared = 1,681

Since , it will not be a right triangle.

15 squared + 36 squared = 297

41 squared = 82

Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.What errors did Lewis make? Check all that apply.

He simplified incorrectly. It should be 20 instead of 200.

He found the difference between the hypotenuse and the short leg instead of the long leg.

He evaluated incorrectly. It should be .

He should not have taken the square root of each side to get rid of the exponent.

In centimeters, what is the unknown length in this right triangle?

Answer not available

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Which triangle’s unknown side length measures 7 units?

A right triangle with a side length of 5 and hypotenuse with length StartRoot 74 EndRoot.

A right triangle with a side length of StartRoot 18 EndRoot and hypotenuse with length 5.

A right triangle with a side length of StartRoot 6 EndRoot and hypotenuse with length StartRoot 43 EndRoot.

A right triangle with a side length of StartRoot 2 EndRoot and hypotenuse of 4.

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?

A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

A triangle with side length 2.9 meters and hypotenuse 1.5 meters.

A triangle with side length 2.9 meters and hypotenuse 2.9 meters.

A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.What is the approximate distance across the lake, to the nearest tenth of a kilometer?

5.7 km

6.3 km

11.4 km

16.0 km

What is the length of the unknown leg in the right triangle?

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale]What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.