The sides of an equilateral triangle are increasing at the rate of2 cm/sec. How far is the area increasing when the side is 10 cms?

Question

Philoid · Accepted Answer

The area of an equilateral triangle, with side a, is defined as

– (1)

Given that and a=10cm, we have to calculate

Differentiating (1) with respect to t, we get

Substituting the values, we get