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Unknown Leg Lengths in Right Triangles Answers

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

Question illustration
A
m
Option A
B
5 m
C
m
Option C
D
15 m
2
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Arnob may want to borrow his cousin’s tent, which is shown below.He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. What is the center height of this tent, to the nearest tenth of a foot?

Question illustration
A
4.1 feet
B
8.1 feet
C
9.8 feet
D
12.0 feet
3

A moving van ramp is 72 inches in length. The top of the ramp can be adjusted to any height up to 20 inches. The ramp is set so that the distance across the ground from the bottom of the ramp to the ground underneath the top of the ramp is 70 inches. What is the height of the ramp above the ground? Round the answer to the nearest tenth of an inch.

A
2.0 inches
B
10.0 inches
C
16.9 inches
D
69.2 inches
4

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

Question illustration
A
a squared + 15 squared = 17 squared
Option A
B
15 squared + 17 squared = a squared
Option B
C
a squared + 15 = 17 squared
Option C
D
a + 15 squared = 17 squared
Option D
5

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.

A
4.1 feet
B
17.0 feet
C
20.6 feet
D
21.4 feet
6

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

Question illustration
A
8 yd
B
yd
Option B
C
64 yd
D
yd
Option D
7

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

Question illustration
A
3 ft
B
ft
Option B
C
ft
Option C
D
9 ft
8

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line. How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?

Question illustration
A
6 kilometers
B
8 kilometers
C
23 kilometers
D
32 kilometers
9

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
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Option A
B
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
Option B
C
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
Option C
D
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Option D
10

Which triangle’s unknown side length measures 7 units?

A
A right triangle with a side length of 5 and hypotenuse with length StartRoot 74 EndRoot.
Option A
B
A right triangle with a side length of StartRoot 18 EndRoot and hypotenuse with length 5.
Option B
C
A right triangle with a side length of StartRoot 6 EndRoot and hypotenuse with length StartRoot 43 EndRoot.
Option C
D
A right triangle with a side length of StartRoot 2 EndRoot and hypotenuse of 4.
Option D

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