The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 4 square centimeters/minute.

At what rate is the base of the triangle changing when the altitude is 7 centimeters and the area is 86 square centimeters?

Question

The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 4 square centimeters/minute.

At what rate is the base of the triangle changing when the altitude is 7 centimeters and the area is 86 square centimeters?

anonymous · Answer

A=bh/2. Take the time derivative.