SOLUTION: Write an equation in simplest radical form to express the area, A, of an equilateral triangle in terms of the side x

SOLUTION: Write an equation in simplest radical form to express the area, A, of an equilateral triangle in terms of the side x

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Question 426347: Write an equation in simplest radical form to express the area, A, of an equilateral triangle in terms of the side x
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
The equilateral triangle contains two 30-60-90 triangles, each with legs of .5x, .5xsqrt(3) and x, the hypotenuse.
The area of one of the 30-60-90 triangles is .5*.5x*.5xsqrt(3)=.125sqrt(3)x^2
the area of the equilateral triangle is .25sqrt(3)x^2
.
Ed
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