In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle 's side is divided into by a line that bisects the opposite angle.

The triangle angle bisector theorem states that "The bisector of any angle inside a triangle divides the opposite side into two parts proportional to the other two sides of the triangle which contain the angle."

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus, AP is the angle bisector of angle A, making our answer 0.

The Angle Bisector Theorem states that when an angle in a triangle is split into two equal angles, it divides the opposite side into two parts. The ratio of these parts will be the same as the ratio of the …

Nov 16, 2025 · Let $\triangle ABC$ be a triangle. Let $D$ lie on the base $BC$ of $\triangle ABC$. Then the following are equivalent: where $BD : DC$ denotes the ratio between the lengths $BD$ and …

Easy Peasy All-in-One High School An extension of Easy Peasy All-in-One Homeschool The Angle Bisector Theorem Proof: The Angle Bisector Theorem Watch on