Finding the Hypotenuse in Right Triangles Answers

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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.

A
14.5 ft
B
15.5 ft
C
17.0 ft
D
19.0 ft
2
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What is the length of the hypotenuse of the triangle?

Question illustration
A
cm
Option A
B
cm
Option B
C
cm
Option C
D
cm
Option D
3

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?

Question illustration
A
0.68 miles
B
0.81 miles
C
1.15 miles
D
1.44 miles
4

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.

Question illustration
A
1.2 miles
B
1.8 miles
C
2.5 miles
D
4.2 miles
5

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?

Question illustration
A
2 squared + 3 squared = d squared
Option A
B
3 squared minus 2 squared = d squared
Option B
C
d squared + 2 squared = 3 squared
Option C
D
d squared + 3 squared = 2 squared
Option D
6

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.

A
, so the side lengths will form a triangle.
Option A
B
, so those lengths will not form a triangle.
Option B
C
15 squared + 36 squared = 1,521
Option C
D
41 squared = 1,681
Option D
E
Since , it will not be a right triangle.
Option E
F
15 squared + 36 squared = 297
Option F
G
41 squared = 82
Option G
7

How much longer is the hypotenuse of the triangle than its shorter leg?

Question illustration
A
2 ft
B
4 ft
C
8 ft
D
10 ft
8

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

A
2 squared + 5 squared = c squared
Option A
B
2 squared + c squared = 5 squared
Option B
C
c squared + 5 squared = 2 squared
Option C
D
5 squared minus 2 squared = c squared
Option D
9

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

Question illustration
A
He did not square 40, he just multiplied by 2.
B
He did not finish the problem. He should have divided 161 by 2 to find the square root.
C
He should have added 9 + 9 to find the value of .
Option C
D
He should have subtracted the two squares to get because numbers get too large if both legs are squared and then added together.
Option D
10

Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.

Question illustration
A
7.7 km
B
8.4 km
C
13.0 km
D
18.0 km

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