Problem 126. Incenter of a Triangle, Angle Bisector, Proportions.
Level: High School, College, SAT Prep.
In the figure below, given a triangle ABC of sides AB = c, BC = a, and AC = b. Let be BD the angle bisector of B, I the incenter, BI = e and ID =d. Prove that: . Post a comment.
FACTS AND HINTS:
Geometry problem solving is one of the most challenging skills for students to learn. When a
problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."