![](../landscape/landscape_px1.gif) |
|
![Online Geometry Problems, High School, College](../problem/h_geometry_problem_910.jpg)
Geometry
Problem 990: Triangle, Incircle, Median, Cevian, Central
Angle, Congruence, Circle, Secant, Midpoint,
Parallel Lines.
< PREVIOUS PROBLEM |
NEXT PROBLEM >
|
In a triangle ABC the median BM intersects
the incircle of center I at D and E, respectively (see the figure).
DJ is parallel to AC and angles DIH and JIE are equal (H and J on the incircle). BH and BJ
extended meet AC at F and G, respectively. Prove that AF = GC.
![Geometry Problem 990: Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint](p990-triangle-incircle-median-circle-central-angle-congruence.gif)
|
|
|
|
|
|
![](../landscape/landscape_bg_right.gif) |
![](../landscape/landscape_px1.gif) |