MathDB
SMT 2020 Geometry #9 right triangle

Source:

August 9, 2023
geometry

Problem Statement

Let ABCABC be a right triangle with hypotenuse ACAC. Let GG be the centroid of this triangle and suppose that we have AG2+BG2+CG2=156AG^2 + BG^2 + CG^2 = 156. Find AC2AC^2.
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