perplexus.info :: Shapes : Same area

Same area (Posted on 2016-03-15)

Given an equilateral triangle inscribed in a circle with a radius R.

Evaluate the dimensions (height, width) of an inscribed rectangle with the same area as the triangle.

Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

Solution: (Hide)

Answer: a = R*sqrt[8+sqrt(37)]/2
b = R*sqrt[8-sqrt(37)]/2
S=3/4 SQRT(3)

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