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Three Equal Division

Source: 1988 National High School Mathematics League, Exam Two, Problem 2

February 25, 2020
geometryperimeter

Problem Statement

In △ABC\triangle ABC, P,Q,RP,Q,R divides the perimeter of △ABC\triangle ABC into three equal parts. P,Q∈ABP,Q\in AB. Prove that S△PQRS△ABC>29\frac{S_{\triangle PQR}}{S_{\triangle ABC}}>\frac{2}{9}.
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