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Topic: Proof of concurrence (Read 610 times) |
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Ronno
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Proof of concurrence
« on: Apr 8th, 2010, 9:13pm » |
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Let ABC be a triangle with circumcenter O and incenter I such that O is different from I. Let AK, BL, CM be the altitudes of ABC; let U, V, W be the midpoints of AK, BL, CM respectively. Let D, E, F be the points at which the incircle of ABC touches the sides BC, CA, AB. Prove that UD, VE, WF and OI are concurrent.
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