Lesson: Angle Bisector Theorem and Its Converse Mathematics

In this lesson, we will learn how to use the angle bisector theorem and its converse to find a missing side length in a triangle.

Lesson Plan

Students will be able to

use the interior and exterior angle bisectors to find missing side lengths in a triangle,
solve equations that are formed from using the angle bisector theorem,
use the converse of the angle bisector theorem to solve problems,
find the lengths of the bisectors of the interior and exterior angles of a triangle.

Q1:

In the given figure, , , and . If , what is the value of ?

Q2:

In the figure, bisects , , , and the perimeter of is 57. Determine the lengths of and .

Q3:

Given that angle is bisected by , , , and . Determine the lengths and .