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  1. Download free PDF of NCERT Solutions for Class 9 Maths Chapter 7 - Triangles, covering congruence, properties and inequalities of triangles. See solved examples, notes and important questions for CBSE exam.

    • RT Solutions For Class 9 Maths Chapter 7 Triangles Ex 7.2
    • RT Solutions For Class 9 Maths Chapter 7 Triangles Ex 7.3
    • RT Solutions For Class 9 Maths Chapter 7 Triangles Ex 7.4
    • RT Solutions For Class 9 Maths Chapter 7 Triangles Ex 7.5

    Ex 7.2 Class 9 MathsQuestion 1. In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at 0. Join A to 0. Show that (i) OB = OC (ii) AO bisects ∠A Solution: i) in ∆ABC, we have AB = AC [Given] ∴ ∠ABC = ∠ACB [Angles opposite to equal sides of a A are equal] ⇒ 12∠ABC = 12∠ACB or ∠OBC = ∠OCB ⇒ OC = OB [Sides opposi...

    Ex 7.3 Class 9 MathsQuestion 1. ∆ABC and ∆DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see figure). If AD is extended to intersect BC at P, show that (i) ∆ABD ≅ ∆ACD (ii) ∆ABP ≅ ∆ACP (iii) AP bisects ∠A as well as ∠D (iv) AP is the perpendicular bisector of BC. Solution: (i) In ∆ABD and ∆ACD, ...

    Ex 7.4 Class 9 MathsQuestion 1. Show that in a right angled triangle, the hypotenuse is the longest side. Solution: Let us consider ∆ABC such that ∠B = 90° ∴ ∠A + ∠B + ∠C = 180° ⇒ ∠A + 90°-+ ∠C = 180° ⇒ ∠A + ∠C = 90° ⇒∠A + ∠C = ∠B ∴ ∠B > ∠A and ∠B > ∠C ⇒ Side opposite to ∠B is longer than the side opposite to ∠A i.e., AC > BC. Similarly, AC > AB. T...

    Ex 7.5 Class 9 MathsQuestion 1. ABC is a triangle. Locate a point in the interior of ∆ ABC which is equidistant from all the vertices of ∆ ABC. Solution: Let us consider a ∆ABC. Draw l, the perpendicular bisector of AB. Draw m, the perpendicular bisector of BC. Let the two perpendicular bisectors l and m meet at O. O is the required point which is ...

  2. ncert.nic.in › textbook › pdfTRIANGLES - NCERT

    TRIANGLES. CHAPTER 7. 7.1 Introduction. You have studied about triangles and their various properties in your earlier classes. You know that a closed figure formed by three intersecting lines is called a triangle. (‘Tri’ means ‘three’). A triangle has three sides, three angles and three vertices.

  3. Learn the concepts of congruent, isosceles and right triangles, their properties and inequalities with examples and video lessons. Download PDF notes and access NCERT solutions, exemplar and sample papers for CBSE Class 9 Maths.

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  4. NCERT Solutions of Chapter 7 Class 9 Triangles is available free at teachoo. Solutions to all exercise questions, examples and theorems is provided with video of each and every question. Let's see what we will learn in this chapter.

  5. CHAPTER 7. TRIANGLES. 7.1 Introduction. You have studied about triangles and their various properties in your earlier classes. You know that a closed figure formed by three intersecting lines is called a triangle. (‘Tri’ means ‘three’). A triangle has three sides, three angles and three vertices.

  6. 3 days ago · NCERT Solutions for Class 9 Maths Chapter 7 Triangles, covers key concepts and proofs for different triangle properties. Download FREE PDF solved by master teachers updated for the year 2024-25

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