Hi there, I am asked this scenario:
The sides of an equilateral triangle are decreasing at a rate of da/dt=-(root6) cm. Find the rate of change of:
a) The area of the triangle
b) The height
I have drawn a diagram but I don't know how to go on about solving these problems
So i Know that for a) I'm meant to find da/dt
b) dh/dt
But I don't know to do arrive at the answer...please help.
For a) A=root(3)/4 * s^2
So I'm trying to find Da/Dt
So the related rate of change is
dA/dt=DA/Da * Da/dt
Diff A=root(30)/4 * s^2 would give root(3)/2 *s
so this is what it would look like
DA/dt=root(3)/2 * s * -root(6)
So far is this right and how would i find that missing side length of s.