In the figure, the length of the hypotenuse of the right triangle is 10, and the length of one leg is 6. What is the length of the other leg?
Correct: C
Using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a^2 + b^2 = c^2), where c = 10 and one leg (let's say a) = 6, we can solve for the other leg (b). The equation becomes 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, we find b = 8.