Q12 of 29 Page 1

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which its area increases, when side is 10 cm long.

We know,


Area of an equilateral triangle


Where, ‘a’ is the length of side.


Given,


Rate of change of side,


Now,






= a√3


Now, Given side, a = 10 cm


Hence, change of area = 10√3 cm2/sec


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