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Geometry Problem 1149: Isosceles Triangle, Altitude, Cevian, Incircles, Tangent, Congruence. Level: School, College, Mathematics Education

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The figure below shows an isosceles triangle ABC (AB = BC) with the altitude BH and a cevian BD. O1 and O2 are the incircles of triangles ABD and BDC. If E and F are the tangency points, prove that EH = DF.
 
 

Geometry Problem 1149: Isosceles Triangle, Altitude, Cevian, Incircles, Tangent, Congruence



 

See also:
Kaleidoscope of Problem 1149 base on Poincare Disk Model.
Isolines of problem 1149.

 


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Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 1141-1150 | Triangles | Isosceles Triangle | Altitude | Circle | Incircle | Tangent Line | Congruence | Last updated: Sep 24 2015

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