A right triangle has legs measuring 20 inches and 21 inches. What is the length of the hypotenuse, in inches?
I know that the Pythagorean theorem relates the lengths of the legs and the hypotenuse of a right triangle by the equation a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse. In this problem, I can plug in a = 20 and b = 21 and solve for c. I get 20^2 + 21^2 = c^2, which simplifies to 400 + 441 = c^2, or 841 = c^2. To find c, I need to take the square root of both sides of the equation. The square root of 841 is 29, so c = 29. Therefore, the length of the hypotenuse is 29 inches. 