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Problem 591: Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Congruence. Level: Mathematics Education, High School, College

The figure shows a triangle ABC with the incircle O tangent to AC at D. M is the midpoint of AC and BE is the altitude. If BE and MO extended meet at F, prove that BF is equal to the inradius of triangle ABC.
 

Triangle, Incircle, Incenter, Inradius, Midpoint, Altitude
 

 

Home | SearchGeometry | Problems | All Problems | Visual Index | 591-600 | Triangles | Circles | Midpoint | Incenter | Altitude | Congruence | Email | Post a comment or solution | By Antonio Gutierrez