g The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour. At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

Step-by-step explanation:

Area of a triangle:

The area of a triangle of base b and height h is given by:

In this question:

We have to derivate the equation of the area implicitly in function of time. So

The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.

This means that:

At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?

This is when

Area is 24, so the base is:

Then

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

the answer i think is a)

step-by-step explanation:

13cm

step-by-step explanation:

(apex)