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Same area (Posted on 2016-03-15) Difficulty: 3 of 5
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    
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Solution: (Hide)
Answer: a = R*sqrt[8+sqrt(37)]/2
b = R*sqrt[8-sqrt(37)]/2
S=3/4 SQRT(3)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2016-03-16 12:17:27
Some ThoughtsPossible solutionbroll2016-03-16 05:22:07
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