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Sunday, August 4, 2019

2012 JBMO Shortlist G2

Let ABC be an isosceles triangle with AB=AC. Let also {c\left(K, KC\right)} be a circle tangent to the line {AC} at point{C} which it intersects the segment {BC} again at an interior point {H}. Prove that {HK\perp AB}.

posted in aops here


my solution 
without words

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