Online Geometry Problems

Geometry Problem 85. Contact Triangles Areas, Incircle, Excircle, Contact Triangles. High School, College, Math Education

In the figure below, given a triangle ABC, S1 is the area of contact triangle of the incircle, Sa, Sb, and Sc are the areas of the contact triangles of the excircles. Prove that: \(\dfrac{1}{S_1}=\dfrac{1}{S_a}+\dfrac{1}{S_b}+\dfrac{1}{S_c}\).
.

Math problem about contact triangles, area, incircle, excircle
 

 

HINTS:

1. See Problems 82, 83, 84.
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | Art | 81-90 | Circle Tangent Line | Email | View or post a solution | by Antonio Gutierrez