AnswersELPGEQ1 MJ Grade 8 Pre-Algebra - 1205070 HCPS V24Finding the Hypotenuse in Right Triangles

Unknown Leg Lengths in Right Triangles Answers

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1
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Which equation could be used to find the length of the hypotenuse?

Question illustration
A
6 squared + 11 squared = c squared
Option A
B
6 squared + c squared = 11 squared
Option B
C
c squared minus 6 squared = 11 squared
Option C
D
11 squared minus 6 squared = c squared
Option D
2
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Which equation could be used to find the length of the hypotenuse?

Question illustration
A
5 squared + 8 squared = c squared
Option A
B
5 squared + c squared = 8 squared
Option B
C
c squared minus 5 squared = 8 squared
Option C
D
8 squared minus 5 squared = c squared
Option D
3

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
4

Which is the length of the hypotenuse of the triangle?

Question illustration
A
ft
Option A
B
ft
Option B
C
33 ft
D
37 ft
5

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

Question illustration
A
4 squared + b squared = 5 squared
Option A
B
4 squared minus b squared = 5 squared
Option B
C
5 squared + 4 squared = b squared
Option C
D
5 squared + b squared = 4 squared
Option D
6

Which triangle’s unknown side length measures units?

Question illustration
A
A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.
Option A
B
A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.
Option B
C
A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.
Option C
D
A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.
Option D
7

What is the length of the hypotenuse of the triangle?

Question illustration
A
26 ft
B
34 ft
C
68 ft
D
74 ft
8

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
9

What is the length of the hypotenuse of the triangle?

Question illustration
A
ft
Option A
B
ft
Option B
C
ft
Option C
D
ft
Option D
10

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
17

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
22

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
23

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.

Question illustration
A
He simplified incorrectly. It should be 20 instead of 200.
Option A
B
He found the difference between the hypotenuse and the short leg instead of the long leg.
C
He evaluated incorrectly. It should be .
Option C
D
He evaluated incorrectly. It should be .
Option D
E
He should not have taken the square root of each side to get rid of the exponent.

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