MathDB
2013-2014 Fall OMO #7

Source:

October 30, 2013
Online Math Opengeometrytrigonometrysimilar triangles

Problem Statement

Points MM, NN, PP are selected on sides AB‾\overline{AB}, AC‾\overline{AC}, BC‾\overline{BC}, respectively, of triangle ABCABC. Find the area of triangle MNPMNP given that AM=MB=BP=15AM=MB=BP=15 and AN=NC=CP=25AN=NC=CP=25.
Proposed by Evan Chen
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