Question

At what rate is the area of an equilateral triangle increasing when each side is of length 20cm and each is increasing at a rate of 0.2cm/sec?

Answer 1

Area of an equilateral triangle is `A=sqrt3/4xxs^2`

Now, use implicit differentiation ...

Explanation:

`(dA)/(dt)=sqrt3/2sxxs'`

Now insert the values from the problem ...

`(dA)/(dt)=sqrt3/2(20)xx(0.2)=2sqrt3`

hope that helped