MathDB

Collinear points

Source:

December 9, 2005

geometryrectanglecircumcirclegeometry proposed

Problem Statement

On sides

C

and

BC

of acute-angled triangle

ABC

rectangles with equal areas

ACPQ

and

BKLC

were built exterior. Prove that midpoint of

PL

, point

C

and center of circumcircle are collinear.

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