# Cartesian plane challenge 2

Geometry Level 5

In $$\triangle ABC$$, let $$(AH):x+y-6=0$$ be the perpendicular ($$H\in BC$$), $$(BE): x-2y+1=0$$ and $$(CK): x-1=0$$ are the medians ($$E\in AC; K\in AB$$). Find the coordinates of vertices $$A,B$$ and $$C$$. Submit your answer as their sum (to 2 decimal places).

Clarification

• The sum is $$x_A+y_A+x_B+y_B+x_C+y_C$$
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