Math Education Geometry Problem 861: Triangle, Incircle, Parallel, Tangent, Metric Relations. Level: School, College, Mathematics Education. Distance learning.

Online Geometry Problem 861: Triangle, Incircle, Parallel, Tangent, Metric Relations. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the incircle O tangent to AB, BC, and AC at E, F, and D, respectively. GH is parallel to AC and tangent to the circle O.If AE = 7, EG = 1, and FH = 2, find CF.

Triangle, Incircle, Tangent, Parallel, Metric Relations