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Find the radius of the inscribed circle

Source: 1970 AHSME Problem 27

April 16, 2014
geometryinradiusAMC

Problem Statement

In a triangle, the area is numerically equal to the perimeter. What is the radius of the inscribed circle?
<spanclass=latexbold>(A)</span>2<spanclass=latexbold>(B)</span>3<spanclass=latexbold>(C)</span>4<spanclass=latexbold>(D)</span>5<spanclass=latexbold>(E)</span>6<span class='latex-bold'>(A) </span>2\qquad<span class='latex-bold'>(B) </span>3\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>5\qquad <span class='latex-bold'>(E) </span>6