In a 3-4-5 right triangle, what is the square of the hypotenuse?

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Multiple Choice

In a 3-4-5 right triangle, what is the square of the hypotenuse?

Explanation:
In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. For a 3-4-5 triangle, the legs are 3 and 4, so compute 3^2 + 4^2 = 9 + 16 = 25. Therefore, the square of the hypotenuse is 25 (the hypotenuse itself is 5). The other numbers are just the squares of the legs (9 and 16); 20 doesn’t match the sum of the squares of the legs, so it can’t be the hypotenuse squared.

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. For a 3-4-5 triangle, the legs are 3 and 4, so compute 3^2 + 4^2 = 9 + 16 = 25. Therefore, the square of the hypotenuse is 25 (the hypotenuse itself is 5). The other numbers are just the squares of the legs (9 and 16); 20 doesn’t match the sum of the squares of the legs, so it can’t be the hypotenuse squared.

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