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The drawing shows an acute triangle ABC with the orthocenter H. The tangents from A to the circle with diameter BC touch the circle at M and N. Prove that M, H, N are collinear (passing through the same straight line).

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See also: Sketch problem 21, art 01 Original problem art 21

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 21-30 | Circles | Orthocenter | Diameters | Collinear Points | Circle Tangent Line | | By Antonio Gutierrez Last updated: Dec 10, 2017 Post or view a solution to the problem 21