Students will learn what the triangle angle bisector theorem is, why it's true, and how to use it. Before attempting this section, students must know the side splitter theorem, the converse of the isosceles triangle theorem, and how to solve proportions.
Here's the easiest way to prove the theorem:
Prove: Angle Bisector Theorem by LetsSolveMathProblems
And here's a slightly harder way:
Triangle angle bisector theorem proof by dangarbo10
Conclude by giving your students these challenges: