MathDB
Day 1 Problem 3

Source: 2016 Russian Regional Olympiad

February 20, 2017
geometry

Problem Statement

In △\bigtriangleupABCABC BLBL is bisector. Arbitrary point MM on segment CLCL is chosen. Tangent to ⊙\odot(ABC)(ABC) at BB intersects CACA at PP. Tangents to ⊙\odotBLMBLM at BB and MM intersect at point QQ. Prove that PQPQ∥\parallelBLBL.
Back to ProblemsView on AoPS