MathDB
Area and Perimeter

Source: AHSME 1963 Problem 35

January 11, 2014
geometryperimetermodular arithmeticarea of a triangleHeron's formulaAMC

Problem Statement

The lengths of the sides of a triangle are integers, and its area is also an integer. One side is 2121 and the perimeter is 4848. The shortest side is:
<spanclass=′latex−bold′>(A)</span> 8<spanclass=′latex−bold′>(B)</span> 10<spanclass=′latex−bold′>(C)</span> 12<spanclass=′latex−bold′>(D)</span> 14<spanclass=′latex−bold′>(E)</span> 16<span class='latex-bold'>(A)</span>\ 8 \qquad <span class='latex-bold'>(B)</span>\ 10\qquad <span class='latex-bold'>(C)</span>\ 12 \qquad <span class='latex-bold'>(D)</span>\ 14 \qquad <span class='latex-bold'>(E)</span>\ 16
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