Go Geometry Problems

Problem 589: Triangle, Incenter, Incircle, Tangency Point, Midpoint, Perpendicular, Distance. Level: Mathematics Education, High School, College

The figure shows a triangle ABC. The incircle O is tangent to AC at D. M is the midpoint of AC. Line AE is perpendicular to BO extended. Prove that the measure of DM is equal to half the measure of CE.
 

Triangle, Incircle, Tangency Point, Midpoint, Perpendicular, Distance
 

Home | SearchGeometry | Problems | All Problems | Visual Index | 581-590 | Triangles | Circles | Midpoint | Incenter | Perpendicular lines | Email | Post a comment or solution | By Antonio Gutierrez