MathDB
Medians, Centroid, Concylic

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April 28, 2009
symmetrygeometrypower of a point

Problem Statement

AL AL, BM BM, and CN CN are the medians of △ABC \triangle ABC. K K is the intersection of medians. If C,K,L,M C,K,L,M are concyclic and AB \equal{} \sqrt 3, then the median CN CN = ?
<spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 3<spanclass=′latex−bold′>(C)</span> 332<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span>\ 1 \qquad<span class='latex-bold'>(B)</span>\ \sqrt 3 \qquad<span class='latex-bold'>(C)</span>\ \frac {3\sqrt3}{2} \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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