The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 1.5 1.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 88 88 square centimeters

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

So:

The area of a triangle is:

Calculate b when

Solve for b

We have:

Differentiate with respect to time

Substitute the following values in the above equation

Multiply both sides by 2

Collect like terms

Divide both sides by 8

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step-by-step explanation:

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