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Pythagorean Theorem — Test Answers

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22
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Which equation could be used to find the length of the hypotenuse?

A
6 squared plus 11 squared is equal to c squared
B
6 squared plus c squared is equal to 11 squared
C
11 squared minus 6 squared is equal to c squared
D
c squared minus 6 squared is equal to 11 squared
23

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?

A
3 squared minus 2 squared is equal to d squared
B
d squared plus 3 squared is equal to 2 squared
C
d squared plus 2 squared is equal to 3 squared
D
2 squared plus 3 squared is equal to d squared
24

Leon states that 21 , 28 , 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

A
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
B
No, the lengths of Pythagorean triples cannot have any common factors.
C
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
D
Yes, any set of lengths with a common factor is a Pythagorean triple.

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