NCERT Solutions for Class 9 Maths Chapter 7 Triangles — Exercise 7.2

NCERT class 9 maths chapter 7 Triangles

Question 1:In an isosceles triangle ABC, with AB = AC, the bisectors of Ð B and Ð C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects Ð A

Exercise 7.2 maths class 9 Chapter 7 Triangles

Question 2:In D ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that D ABC is an isosceles triangle in which AB = AC.

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Question 3:ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

class 9 maths solutions Triangles

Question 4:ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) D ABE @ D ACF (ii) AB = AC, i.e., ABC is an isosceles triangle.

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Question 5:ABC and DBC are two isosceles triangles on the same base BC (see Fig. 7.33). Show that Ð ABD = Ð ACD.

Triangles class 9 ncert solutions

Question 6:DABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that Ð BCD is a right angle.

Question 7:ABC is a right angled triangle in which Ð A = 90° and AB = AC. Find Ð B and Ð C.

Question 8:Show that the angles of an equilateral triangle are 60° each