An equilateral triangle and a parallelogram lie on the same base and between the same parallel lines. The area of the parallelogram is 200*root(3) sq cm. What is the length of the side of the triangle?
Explanation: Two triangles with the same base and between the same parallel lines will have equal areas. Likewise, a triangle and a parallelogram with the same base and between the same parallel lines will have areas in the ratio 1:2 respectively.
Therefore,
2*Area of the equilateral triangle = 200*root(3)
2*root(3)*a2/4 = 200*root(3)
a = 20.
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