SOLUTION: Let 2s be the length of the side of an equilateral triangle. Express the height of the triangle as a function as s. Express the area of the triangle as a function of s.

Algebra ->  Functions -> SOLUTION: Let 2s be the length of the side of an equilateral triangle. Express the height of the triangle as a function as s. Express the area of the triangle as a function of s.      Log On


   

Question 1109236: Let 2s be the length of the side of an equilateral triangle. Express the height of the triangle as a function as s. Express the area of the triangle as a function of s.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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From the diagram,
H%5E2%2Bs%5E2=%282s%29%5E2
H%5E2%2Bs%5E2=4s%5E2
H%5E2=3s%5E2
H=sqrt%283%29s
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From there,
A=%281%2F2%29%282s%29%28H%29
Work that out for the area of the triangle.