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1990 AHSME #7: Triangle with integral sides

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January 1, 2013
calculusintegrationgeometryperimeterAMC

Problem Statement

A triangle with integral sides has perimeter 88. The area of the triangle is
<spanclass=′latex−bold′>(A)</span>22<spanclass=′latex−bold′>(B)</span>1693<spanclass=′latex−bold′>(C)</span>23<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>42<span class='latex-bold'>(A) </span>2\sqrt{2}\qquad <span class='latex-bold'>(B) </span>\dfrac{16}{9}\sqrt{3}\qquad <span class='latex-bold'>(C) </span>2\sqrt{3}\qquad <span class='latex-bold'>(D) </span>4\qquad <span class='latex-bold'>(E) </span>4\sqrt{2}
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