### Home > CALC > Chapter 7 > Lesson 7.1.3 > Problem7-33

7-33.

A right triangle has a fixed hypotenuse of length 13 units. If a leg is increasing in length at a rate of unit per second, find the rate of change in area of the triangle when that same leg is 5 units long. Homework Help ✎

Sketch the triangle and label the known information.

$\text{So start with an area equation: }A=\frac{1}{2}bh.$
$A=\frac{1}{2}(b)(\sqrt{13^{2}-b^{2}})$