---

Lisa Brock

Assignment 4

Proof that the Angle Bisectors of the Interior Angles of a Triangle are Concurrent

---

Prove that the angle bisectors of the interior angles of a triangle are concurrent.

Given Triangle ABC with angle bisectors AD, BE, and CF.

By the Angle Bisector Theorem,

, ,

By the Multiplication Property of Equality,

By Algebra,

By Ceva’s Theorem, AD, BE, CF are concurrent.

---

Return to Lisa Brock’s Home Page

---