Angle Bisectors

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. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Consider a triangle ABC. Let the angle bisector of angle A intersect side BC at a point D. The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment DC is equal to the ratio of the length of side AB to the length of side AC

The angle bisector theorem is commonly used when the angle bisectors and side lengths are known. It can be used in a calculation or in a proof. Read more on – Wikipedia

Read this topic in NCERT Book – Angle Bisectors

Video on Angle Bisectors

Credit Khan Academy

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