NCERT Solutions for Class 9 Maths Chapter 7 Triangles — Exercise 7.3

NCERT class 9 maths chapter 7 Triangles

Question 1:D ABC and D DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that (i) D ABD @ D ACD (ii) D ABP @ D ACP (iii) AP bisects Ð A as well as Ð D. (iv) AP is the perpendicular bisector of BC.

Exercise 7.3 maths class 9 Chapter 7 Triangles

Question 2:AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects Ð A.

CBSE class 9 maths ncert solutions Chapter 7

Question 3:Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of D PQR (see Fig. 7.40). Show that: (i) D ABM @ D PQN (ii) D ABC @ D PQR

class 9 maths solutions Triangles

Question 4:BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

Question 5:ABC is an isosceles triangle with AB = AC. Draw AP ^ BC to show that Ð B = Ð C.