Question

The side of an equilateral triangle is increasing at the rate of 2 cm/s at what rate its area increasing when the side of the triangle is 20 cm

Answer 1

Answer:

10√3

Step-by-step explanation:

da/dt = 2 cm/s

d(area)/dt = d(a²√3/8)/dt

                 = √3/8 * 2a * da/dt

                 =  √3/4 * a * da/dt

                  =  (√3)/4 * 20 * 2   =   10√3