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AHSME 1950- the original problems

Source:

July 17, 2008
geometry

Problem Statement

The area of the largest triangle that can be inscribed in a semi-circle whose radius is rr is:
<spanclass=′latex−bold′>(A)</span> r2<spanclass=′latex−bold′>(B)</span> r3<spanclass=′latex−bold′>(C)</span> 2r2<spanclass=′latex−bold′>(D)</span> 2r3<spanclass=′latex−bold′>(E)</span> 12r2<span class='latex-bold'>(A)</span>\ r^2 \qquad <span class='latex-bold'>(B)</span>\ r^3 \qquad <span class='latex-bold'>(C)</span>\ 2r^2 \qquad <span class='latex-bold'>(D)</span>\ 2r^3 \qquad <span class='latex-bold'>(E)</span>\ \dfrac{1}{2}r^2
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