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.

 


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