arrow_back The Pythagorean Theorem for a right triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is its hypotenuse.

Question

The Pythagorean Theorem for a right triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is its hypotenuse. The shorter leg is 10 cm less than the other leg, and the hypotenuse is 10 cm longer than that other leg. What is the length of the hypotenuse?