Differentiation and Related Rates : Rate of Change of Area of Isoceles Triangle

The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees.

(a) Show that the area of the triangle is given by A = 1/2s^2 sin Z

(b) If Z is increasing at the rate of 1/2 radian per minute, find the rate of change of the area when Z = pi/6 and Z = pi/3

(c) Explain why the rate of change of the area of the triangle is not constant even though dZ/dt is constant

Solution Summary

The Rate of Change of Area of an Isoceles Triangle is calculated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.