MathDB
Right Triangle Medians

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February 27, 2008

Problem Statement

Let △XOY \triangle{XOY} be a right-angled triangle with m\angle{XOY}\equal{}90^\circ. Let M M and N N be the midpoints of legs OX OX and OY OY, respectively. Given that XN\equal{}19 and YM\equal{}22, find XY XY. <spanclass=′latex−bold′>(A)</span> 24<spanclass=′latex−bold′>(B)</span> 26<spanclass=′latex−bold′>(C)</span> 28<spanclass=′latex−bold′>(D)</span> 30<spanclass=′latex−bold′>(E)</span> 32 <span class='latex-bold'>(A)</span>\ 24 \qquad <span class='latex-bold'>(B)</span>\ 26 \qquad <span class='latex-bold'>(C)</span>\ 28 \qquad <span class='latex-bold'>(D)</span>\ 30 \qquad <span class='latex-bold'>(E)</span>\ 32
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