Question 426347
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
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Ed