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Geometry Problem 21 with Solution: Acute Triangle, Orthocenter, Circle, Diameter, Tangent, Collinear Points. Sketch, Software.

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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).
 


 

See solution below

 

Sketch of problem 21 using iPad Apps.

Sketch of problem 21 using mobile apps. Acute Triangle, Orthocenter, Circle, Diameter, Tangent, Collinear Points, Sketch Software

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

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Geometry Problem 21 Solution(s)