Multiple choice

A right triangle has legs with lengths of 45 centimeters and 108 centimeters. What is the length of the hypotenuse of this triangle, in centimeters?

  1. 110

  2. 117

  3. 127

  4. 153
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B Correct answer
Explanation

Hypotenuse = sqrt(45^2 + 108^2) = sqrt(2025 + 11664) = sqrt(13689) = 117.

AI explanation

Using the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the two legs. This gives 45 squared plus 108 squared, which is 2025 plus 11664, totaling 13689. Taking the square root of 13689 results in a hypotenuse length of 117 centimeters.

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