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Problem 9 - Entrance Test

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

Correct: B

Use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the length of the hypotenuse (10 cm), and one of the sides (let's say a) is 6 cm. So, 6^2 + b^2 = 10^2. This simplifies to 36 + b^2 = 100. Subtract 36 from both sides to get b^2 = 64. Taking the square root of both sides gives b = 8.