The figure below shows a triangle ABC with three rectangles ABDE, BCFG and ACHJ. The points K, L, M are the midpoints of AB, BC, and AC, respectively. Lines KQ, LN, and MP are perpendicular to FH, EJ, and DG, respectively. Prove that KQ, LN, and MP are concurrent.

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Geometry Problems

Ten problems: 1391-1400

Visual Index

Open Problems

All Problems

Triangle

Rectangle

Midpoints

Perpendicular lines

Concurrent lines

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