SOLUTION: If the perimeter of an isosceles triangle is 36cm and if the altitude to its base is 12cm, what is the triangle's area?

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Question 272325: If the perimeter of an isosceles triangle is 36cm and if the altitude to its base is 12cm, what is the triangle's area?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let 2x=base

by Pythagoras ___ x^2 + 12^2 = (18 - x)^2

x^2 + 144 = 324 - 36x + x^2

36x = 180 ___ x = 5

area = 5 * 12 = 60