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Problem 318. Scalene triangle, Altitudes, Collinear points.
Level: High School, College, SAT Prep.

The figure shows a scalene triangle ABC and the altitudes AHA, BHB, CHC. Lines HBHA and AB meet at C1, lines HCHA and AC meet at B1 , lines HBHC and CB meet at A1. Proved that A1, B1, and C1 are collinear.

Triangle, Altitudes, Collinear points
 

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