In a triangle, the length of the hypotenuse is 10 inches, and one of the legs is 6 inches. What is the length of the other leg?
Correct: C
Using the Pythagorean theorem, a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. Given c = 10 inches and one of the legs (let's say a) = 6 inches, we can solve for b: 6^2 + b^2 = 10^2. This simplifies to 36 + b^2 = 100. Subtracting 36 from both sides gives b^2 = 64. Taking the square root of both sides gives b = 8 inches.