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

Finding the Hypotenuse in Right Triangles Answers

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1
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What is the length of the hypotenuse of the triangle?

Question illustration
A
26 ft
B
34 ft
C
68 ft
D
74 ft
2
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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
3

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
4

Carlos went to buy a television the same size as his friend’s. When he got to the store, he found that televisions are measured along the diagonal. Which equation will help him find the size he wants?

Question illustration
A
20 squared + 35 squared = d squared
Option A
B
d squared + 20 squared = 35 squared
Option B
C
d squared + 35 squared = 20 squared
Option C
D
35 squared minus 20 squared = d squared
Option D
5

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
6

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
7

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
8

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
9

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
10

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

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