MathDB

6

Part of 2007 Swedish Mathematical Competition

Problems(1)

area bisector of triangle passes though a vertice and point P

Source: 2007 (-08) Swedish Mathematical Competition p6

9/1/2020
In the plane, a triangle is given. Determine all points PP in the plane such that each line through PP that divides the triangle into two parts with the same area must pass through one of the vertices of the triangle.
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