In a right triangle with legs 8 and 15, what is h^2, where h is the hypotenuse length?

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Multiple Choice

In a right triangle with legs 8 and 15, what is h^2, where h is the hypotenuse length?

Explanation:
In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. So h^2 = 8^2 + 15^2 = 64 + 225 = 289. That means h = 17 and h^2 is 289. This aligns with the known 8-15-17 triple. The other values don’t match 8^2 + 15^2, so they aren’t correct for h^2.

In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. So h^2 = 8^2 + 15^2 = 64 + 225 = 289. That means h = 17 and h^2 is 289. This aligns with the known 8-15-17 triple. The other values don’t match 8^2 + 15^2, so they aren’t correct for h^2.

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