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Perimeter of a Triangle

Source:

June 7, 2009
geometryperimeterinradius

Problem Statement

The area of a circle inscribed in an equilateral triangle is 48π 48\pi. The perimeter of this triangle is: <spanclass=′latex−bold′>(A)</span> 723<spanclass=′latex−bold′>(B)</span> 483<spanclass=′latex−bold′>(C)</span> 36<spanclass=′latex−bold′>(D)</span> 24<spanclass=′latex−bold′>(E)</span> 72 <span class='latex-bold'>(A)</span>\ 72\sqrt{3} \qquad <span class='latex-bold'>(B)</span>\ 48\sqrt{3}\qquad <span class='latex-bold'>(C)</span>\ 36\qquad <span class='latex-bold'>(D)</span>\ 24\qquad <span class='latex-bold'>(E)</span>\ 72
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