In a right-angled triangle, the length of the hypotenuse is 10 units and one of the other sides is 6 units. What is the length of the third side?
Correct: A
To find the length of the third side, we can use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the length of the hypotenuse. Given c = 10 and one of the other sides, say a, is 6, we can solve for b: 6^2 + b^2 = 10^2. So, 36 + b^2 = 100, then b^2 = 100 - 36, b^2 = 64, and b = sqrt(64) = 8 units.