Isosceles Triangle Related Rate #2 (p.154 #17 Edwards, Hostetler, Larson)
Use the sketch to help answer the questions below.
The included angle of the two sides of constant equal length s of an isoceles triangle is θ.
a) Show that the area of the triangle is equal to (1/2)s^2sin(θ).
b) If theta is increasing at the rate of 1/2 radian per minute, find the rates of change of the area when θ = π/6, and θ = π/3.
c) Explain why the rate of change of the area of the triangle is not constant even though the rate of change of θ is constant.