Question

The altitude of a triangle is increasing at a rate of 3 3 centimeters/minute while the area of the triangle is increasing at a rate of 3.5 3.5 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 100 100 square centimeters?

Answer 1

(3 points) The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 20 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2. = 2, namely, the base of the triangle is increasing at a rate of 2 cm/min.