Question

A right triangle has legs of 24 inches and 32 inches whose sides are changing. The short leg is increasing by 8 in/sec and the long leg is shrinking at 5 in/sec. What is the rate of change of the hypotenuse?

Answer 1

H^2 = S^2 + L^2

this is a 3-4-5 triangle ... H = 40

2 H dH/dt = 2 S dS/dt + 2 L dL/dt

40 dH/dt = (24 * 8) - (32 * 5)