Use the derivative to find the size of an angle of a right triangle so that the radius of the circle inscribed is maximum; for a constant hypotenuse.
ProblemABC is a right triangle and r is the radius of the inscribed circle.a) Express r in terms of angle x and the length of the hypotenuse h. b) Assume that h is constant and x varies; find x for which r is maximum.
Solution to Problem:
