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find a point so that ratio of areas = ratio of perimeters

Source: Vietnam MO 1979 P3

July 28, 2018
geometryperimeterratio

Problem Statement

ABCABC is a triangle. Find a point XX on BCBC such that : area ABXABX / area ACXACX = perimeter ABXABX / perimeter ACXACX.
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