If a right triangle has legs a = 3 and b = 4, what is c^2?

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Multiple Choice

If a right triangle has legs a = 3 and b = 4, what is c^2?

Explanation:
In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. So with legs 3 and 4, compute 3^2 + 4^2 = 9 + 16 = 25. Therefore c^2 = 25 (and c = 5). This is the classic 3-4-5 triangle, so the value 25 fits perfectly.

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. So with legs 3 and 4, compute 3^2 + 4^2 = 9 + 16 = 25. Therefore c^2 = 25 (and c = 5). This is the classic 3-4-5 triangle, so the value 25 fits perfectly.

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