

Let two equal sides of triangle = a
Given base = b
Now area of triangle A = (1/2) * b*√{a2 - (b2 /4)}
Now differentiate with respect to x, we get
δA/δx = (b/2) * (1/2)* 2a/b*√{a2 - (b2 /4)} * δa/δx ............1
Given in the question
δa/δx = 3 and a = b
Put these values in equation 1, we get
δA/δx = (b/2) * (1/2)* [2b/[√{b2 - (b2 /4)}] *3
= (3b2 / 2)* /[√{(4b2 - b2 )/4}
= 3b2 /√3b2
= √3*√3b2 /b√3
= √3b cm/second
So when the two equal sides are equal to the base, then area decrease = √3b cm/second
