Chapter 8: Similar Triangles

Internal Bisector of an angle of a Triangle

  1. The internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle.
  2. If a line-segment drawn from the vertex of a triangle to its opposite side and divides it in the ratio of the sides containing the angle, then the line segment bisect the angle of the vertex.

Example 17. In the adjoining fig AD is the bisector of If BD = 4cm, DC = 3cm and AB = 6cm, determine AC.

Solution:- In is the bisector of

Example 18. In the adjoining fig, AD is bisector of If AB = 5.6cm, AC = 4cm, DC = 3cm, find BC.

Solution:- In is the bisector of

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Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 1 Linear Equations in Two Variables
Chapter 2 HCF and LCM
Chapter 3 Rational Expression
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Instalments
Chapter 7 Income Tax
Chapter 8 Similar Triangles