Mean Coordinates

Geometry Level 2

A triangle was drawn on a Cartesian plane such that the sum of the x x -coordinates and the sum of the y y -coordinates of this triangle are 12 and 96, respectively. The point that passes through all three medians of this triangle is denoted by ( X , Y ) \left(\overline X , \overline Y \right ) . Find X + Y X+Y .


The answer is 36.

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1 solution

Ahmad Saad
Jun 19, 2016

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