Angle Bisector Theorem: A Step-by-Step Guide

5/3/2026

6 min read

The angle bisector theorem is a fundamental concept in geometry that helps us calculate the angle bisector of a triangle.

Explanation

The angle bisector theorem states that the ratio of the lengths of the two segments of the opposite side is equal to the ratio of the other two sides.

Formula
AB / AC = BD / DC
Example

Find the angle bisector of a triangle with sides 3, 4, and 5

How to use the related calculator

To use the angle bisector calculator, simply enter the lengths of the three sides of the triangle and click the 'Calculate' button.


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FAQ
What is the angle bisector theorem?

The angle bisector theorem states that the ratio of the lengths of the two segments of the opposite side is equal to the ratio of the other two sides.


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