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5

Part of 2000 National Olympiad First Round

Problems(1)

Turkey NMO 2000 1st Round - P05 (Geometry)

Source:

7/24/2012
[BD][BD] is a median of △ABC\triangle ABC. m(ABD^)=90∘m(\widehat{ABD})=90^\circ, ∣AB∣=2|AB|=2, and ∣AC∣=6|AC|=6. ∣BC∣=?|BC|=?
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 32<spanclass=′latex−bold′>(C)</span> 5<spanclass=′latex−bold′>(D)</span> 42<spanclass=′latex−bold′>(E)</span> 26 <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 3\sqrt2 \qquad<span class='latex-bold'>(C)</span>\ 5 \qquad<span class='latex-bold'>(D)</span>\ 4\sqrt2 \qquad<span class='latex-bold'>(E)</span>\ 2\sqrt6
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