Question:

A right-angled triangle has shorter side lengths exactly c²

Last updated: 7/15/2022

A right-angled triangle has shorter side lengths exactly c²

A right-angled triangle has shorter side lengths exactly c² - 6² and 2bc units respectively, where b and c are positive real numbers such that c is greater than b. Find an exact expression for the length of the hypotenuse (in appropriate units).