Exploring the Pythagorean Theorem Answers
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1
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Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.Step 1: Find the greatest common factor of the given lengths: 7Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 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
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.B
Yes, any set of lengths with a common factor is a Pythagorean triple.C
No, the lengths of Pythagorean triples cannot have any common factors.D
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.2
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Which is a perfect square?
A
20B
21C
24D
253
Which is a perfect square?
A
6 Superscript 1
B
6 squared
C
6 cubed
D
6 Superscript 5
4
Which equation can be used to find x, the length of the hypotenuse of the right triangle?
A
16 + 63 = x
B
16 squared + 63 = x
C
(16 + 63) squared = x squared
D
16 squared + 63 squared = x squared
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