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3 of 4 areas known, find 4th area (2019 Adygea Teachers' Geometry Olympiad p1)

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June 24, 2020
geometryareasmidpoint

Problem Statement

Inside the quadrangle, a point is taken and connected with the midpoint of all sides. Areas of the three out of four formed quadrangles are S1,S2,S3S_1, S_2, S_3. Find the area of the fourth quadrangle.
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