The angles of a triangle are $22.5^o, 45^o$ and $112.5^o$. Prove that inside this triangle there exists a point that is located on the median through one vertex, the angle bisector through another vertex and the altitude through the third vertex.
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Tags: geometry, concurrency, concurrent
The angles of a triangle are $22.5^o, 45^o$ and $112.5^o$. Prove that inside this triangle there exists a point that is located on the median through one vertex, the angle bisector through another vertex and the altitude through the third vertex.