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Problem 20 - Entrance Test

In a right-angled triangle, the hypotenuse is 10 inches long, and one of the other sides is 8 inches long. What is the length of the remaining side?

Correct: C

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