MathDB
P01 [Geometry] - Turkish NMO 1st Round - 2002

Source:

August 7, 2014
geometry

Problem Statement

Let C′,A′,B′C', A', B' be the midpoints of sides [AB][AB], [BC][BC], [CA][CA] of △ABC\triangle ABC, respectively. Let HH be the foot of perpendicular from AA to BCBC. If ∣A′C′∣=6|A'C'| = 6, what is ∣B′H∣|B'H|?
<spanclass=′latex−bold′>a)</span> 5<spanclass=′latex−bold′>b)</span> 6<spanclass=′latex−bold′>c)</span> 52<spanclass=′latex−bold′>d)</span> 62<spanclass=′latex−bold′>e)</span> 7 <span class='latex-bold'>a)</span>\ 5 \qquad<span class='latex-bold'>b)</span>\ 6 \qquad<span class='latex-bold'>c)</span>\ 5\sqrt 2 \qquad<span class='latex-bold'>d)</span>\ 6\sqrt 2 \qquad<span class='latex-bold'>e)</span>\ 7
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