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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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