The lengths of the legs of a right triangle are 6 inches and 8 inches. What is the length of the hypotenuse?

Using the Pythagorean theorem, the length of the hypotenuse can be calculated as follows:

Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 6^2 + 8^2
Hypotenuse^2 = 36 + 64
Hypotenuse^2 = 100
Hypotenuse = √100
Hypotenuse = 10

Therefore, the length of the hypotenuse is 10 inches.