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IMOC 2017 G2 , (ABC) <= (DEF) . perpendiculars related

Source: https://artofproblemsolving.com/community/c6h1740077p11309077

March 20, 2020
geometryarea of a trianglegeometric inequalityareas

Problem Statement

Given two acute triangles △ABC,△DEF\vartriangle ABC, \vartriangle DEF. If AB≥DE,BC≥EFAB \ge DE, BC \ge EF and CA≥FDCA \ge FD, show that the area of △ABC\vartriangle ABC is not less than the area of △DEF\vartriangle DEF
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