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Kajal Aggarwal
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Asked: 2020-11-03T10:04:15+00:00 In:

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

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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: 4

2020-2021cbsechapter 7class 9mathematicsncerttriangles
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    2. Best Answer
      BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

      In ΔFBC and ΔECB,
      ∠BFC = ∠CEB [∵ Each 90°]
      BC = BC [∵ Common]
      FC = BE [∵ Given]
      Hence, ΔFBC ≅ ΔECB [∵ RHS Congruency Rule]
      ∠FBC = ∠ECB [∵ CPCT]
      ⇒ AC = AB [∵ Angles opposite to equal Sides are equal]
      Hence, ΔABC. is an isosceles triangle.

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    3. 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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