Geometry Problem 1001: Triangle, Circle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent, Collinear Points. Level: School, College.

The figure below shows a triangle ABC, the perpendicular to AC at C and the perpendicular bisector of BC meet at P₁, the perpendicular to AC at A and the perpendicular bisector of AB meet at P₂, the tangent at B to circumcircle of triangle ABC meets AC extended at P₃. Prove that points P₂, P₁ and P₃ are collinear.

$Geometry Problem 1001: Triangle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent, Collinear Points$

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Last updated: Sep 19, 2014