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Problem 7 - Entrance Test

In a right-angled triangle, the length of the hypotenuse is 10 inches and one of the other sides is 6 inches. What is the length of the third side?

Correct: B

Using the Pythagorean theorem, c^2 = a^2 + b^2, where c is the length of the hypotenuse (10 inches) and one of the sides (a) is 6 inches. We need to find b. So, 10^2 = 6^2 + b^2, which means 100 = 36 + b^2. Subtracting 36 from both sides gives us b^2 = 64. Taking the square root of both sides, we find b = 8.