Geometry Problems, Online Education

Geometry Problem 144. Four Triangles, Incircle, Tangent and Parallel to Side, Inradii.

In the figure below, given a triangle ABC and the incircle of center I (inscribed circle), DE, FG, and HM are tangent to the incircle I and  parallel to AC, AB, and BC respectively. If r, r1, r2, r3 are the inradii of triangles ABC, AHM, BDE, and CFG respectively, prove that r = r1 + r2 + r3. View or post a solution.

Elearning 144: Triangle, Inradii


Home | Geometry | Search | Problems | 141-150 | Email