MathDB
IOQM 2022-23 P-12

Source:

October 30, 2022
geometrytrapezoidIOQM

Problem Statement

Given △ABC\triangle{ABC} with ∠B=60∘\angle{B}=60^{\circ} and ∠C=30∘\angle{C}=30^{\circ}, let P,Q,RP,Q,R be points on the sides BA,AC,CBBA,AC,CB respectively such that BPQRBPQR is an isosceles trapezium with PQ∥BRPQ \parallel BR and BP=QRBP=QR.\\ Find the maximum possible value of 2[ABC][BPQR]\frac{2[ABC]}{[BPQR]} where [S][S] denotes the area of any polygon SS.
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