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Use the Pythagorean theorem to prove whether or not each set of numbers represent the side lengths of a right triangle.

In your final answer, include your proof.
A. 6, 12, and 15
B. 5, 12, and 13
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1 Answer

9 votes

Answer:

A is not a right triangle

B is a right triangle

Explanation:

A.

6^2 = 36
12^2 = 144.

36 + 144 = 180

15^2 = 225

180 ≠ 225, so it is not a right triangle

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B.

5^2 = 25

12^2 = 144

25 + 144 = 169

13^2 = 169

169 = 169, so it is a right triangle

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