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x + 2Δ /x =y+ 2Δ /y 2020-21 IOQM p16

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January 18, 2021
geometryareas

Problem Statement

The sides xx and yy of a scalene triangle satisfy x+2Δx=y+2Δyx + \frac{2\Delta }{x}=y+ \frac{2\Delta }{y} , where Δ\Delta is the area of the triangle. If x=60,y=63x = 60, y = 63, what is the length of the largest side of the triangle?
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