A line $l$ and points $A,B$ on the same side of $l$ are given in the plane. Construct (with a ruler and a compass) a point $C$ such that the line $l$ intersects $AC$ at $M$ and $BC$ at $N$, where $BM$ is the altitude and $AN$ the median.
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Tags: geometry
A line $l$ and points $A,B$ on the same side of $l$ are given in the plane. Construct (with a ruler and a compass) a point $C$ such that the line $l$ intersects $AC$ at $M$ and $BC$ at $N$, where $BM$ is the altitude and $AN$ the median.