A right triangle has a fixed hypotenuse of length cm

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A right triangle has a fixed hypotenuse of length

10

cm. Let

x

be the length of one leg, with

0<x<10

. Express the area

A

of the triangle in terms of

x

and determine the value of

x

that maximizes

A