Online Geometry Problems, High School, College

 

Online Geometry Problem 657: Triangle, Incircle, Tangency Points, Parallel Lines. Level: High School, Honors Geometry, College, Mathematics Education

Geometry problems 651-660

The figure shows a triangle ABC with the incircle tangent to AB, BC, and AC at D, E, and F, respectively. The line through A parallel to FE meets ED at G. The line through A parallel to DE meets EF at H. Line GH meets AB and AC at J and K, respectively. If BD = 5, and CF = 4, find JK.

Triangle, Incircle, Parallel, Tangent

 

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