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**Assignment 4**

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

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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.