# Construct a triangle, given its angle at the vertex, and the altitude and the median drawn to the base.

The problem is from a book. Also it gives a hint: "Double the median extending it past the base, connect the endpoint the with the vertices at the base, and consider the parallelogram thus formed.".

The image below is my interpretation of the problem. In the left is some random triangle with the colored segments and angle as the given. In the right is some attempt at reconstructing it with the given (starting with the point A). I can't seem to reconcile the hint with my attempt: I can't construct the parellelogram that it is talking about. Maybe I'm misunderstanding the problem? Any hint?