Maths. Assignment Class X Chapter 6 : Triangle Extra questions of class x, chapter 6, extra questions of triangle chapter 6, class x Important Result : Internal bisector of angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle. In Triangle ABC, if AD is the bisector of ∠A then \[\frac{AB}{AC}=\frac{BD}{DC}\] For detailed study and basic concepts related to the similarity of triangles: Click Here Solve the following questions Question 1: Q. 1. PA, QB and RC are each perpendicular to AC then Question 2: If the bisector of an angle of triangle bisects the opposite side, then prove that the triangle is isosceles. Question 3: O is any point inside a triangle ABC. The bisectors of ∠AOB, ∠BOC and ∠COA meet the side AB, BC and CA in points D, E, F respectively. Show that AD X BE X CE = BD X EC X FA Question 4: In triangle ABC, AD is the internal bisector of ∠A which meets BC