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Kajal Aggarwal
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Asked: 2020-11-03T10:04:21+00:00 In:

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects AngleA.

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NCERT Solutions for Class 9 Maths Chapter 7
Important NCERT Questions
Triangles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 7.3
Page No:128
Questions No: 2

2020-2021cbsechapter 7class 9mathematicsncerttriangles
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    1. Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-7/

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    2. Best Answer
      AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects AngleA.

      (i) In ΔABD and ΔACD,
      ∠ADB = ∠ADC [∵ Each 90°]
      AB = AC [∵ Given]
      AD = AD [∵ Common]
      Hence, ΔABD ≅ ΔACD [∵ RHS Congruency Rule]
      BD = DC [∵ CPCT]
      Hence, AD bisects BC.

      (ii) ∠BAD = ∠CAD [∵ CPCT]
      Hence, AD bisects angle A.

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