Online Geometry theorems, problems, solutions, and related topics.
Geometry Problem. Post your solution in the comment box below.Level: Mathematics Education, High School, Honors Geometry, College.Click the diagram below to enlarge it.
This is two Sangaku with equal incircles problem . See link below for solution in details.http://s25.postimg.org/ghxiz2xbz/two_sangaku_with_equal_incircles_problem.pngThe length of cevian BD will be x= BD= sqrt(s.(s-b)) per above link.In our case s= AF= ½ of perimeter of triangle ABCs-b= AF-AC= CFso BD=sqrt(AF.CF)