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A triangle has sides with lengths of 32 millimeters, 60 millimeters, and 64 millimeters. Is it a right triangle?

User Rolacja
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1 Answer

4 votes

Answer:

Yes it is a right triangle

Explanation:

These side lengths correspond to a Pythagorean triple, specifically 8-15-17, which is a set of three positive integers that satisfies the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, also known as the hypotenuse.

In this triangle, 32^2 + 60^2 = 8^2 + 15^2 = 17^2, which confirms that it is indeed a right triangle.

User RMcLeod
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