Finding the Hypotenuse in Right Triangles Answers

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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
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

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