Angle Bisector of Triangle
In a triangle, an Angle Bisector is a straight line that splits an angle into two equal or congruent parts. Ever triangle consists three vertices and three associated triangle. There can have up to three angle bisectors. Angle bisectors of a triangle can be classified into two types depending on the angles they bsect
- Internal Angle Bisector
- External Angle Bisector
Internal Angle Bisector
Internal Angle Bisector as the name suggest bisects the interior angles of a triangle. There are three such internal bisectors with one originating from each vertex. The meeting point of these three angle bisectors within a triangle is referred to as “incenter.” This incenter is equidistant from all three vertices of the triangle. AD is the internal angle bisector of angle A in triangle ABC.
External Angle Bisector
External Angle Bisector are the bisectors of exterior angles of a triangle. Exterior angles of a triangle can be formed by extending one of its sides. There can be three such exterior angles and hence corresponding to them there can be three angle bisectors. AE is external angle bisector of angle CAD in triangle ABC.
Angle Bisector
Angle Bisector in geometry is a line, ray, or segment that divides an angle into two equal angles of the same measure. The word Bisector means dividing a shape or an object into two equal parts. In the case of geometry, it is often used to split triangles and angles into equal measures.
In this article, we will discuss the introduction, definition, and properties of an Angle Bisector and its meaning. We will also understand the construction of an Angle Bisector and the theorem to calculate the angle. We will also solve various examples and provide practice questions for a better understanding of the concept of this article.
Table of Content
- What is an Angle Bisector?
- Angle Bisector of Triangle
- Properties of Angle Bisector
- Construction of an Angle Bisector
- Angle Bisector Theorem
- Perpendicular Bisector Theorem
- Solved Example of Angle Bisector
- Practice Questions on Angle Bisector