SOLUTION: how do you find the area of an equilateral triangle??? thanks...

Question 423468: how do you find the area of an equilateral triangle???
thanks...
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
when an equilateral triangle is sitting on one of the sides, the altitude to the opposite vertex bisects the side
___ this divides the triangle into two 30-60-90 right triangles

if the length of a side of the equilateral triangle is "s",
then the altitude (which is one of the 30-60-90 sides) is {[s * sqrt(3)] / 2}

using the triangle area formula (1/2 * b * h) ___ (1/2)(s){[s * sqrt(3)] / 2}

the area is ___ [(s^2) * sqrt(3)] / 4
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