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Ishita Katyal
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Asked: 2020-11-03T09:55:00+00:00 In:

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that ar (APB) = ar (BQC).

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NCERT Solutions for Class 9 Maths Chapter 9
Important NCERT Questions
Areas of Parallelograms and Triangles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 9.2
Page No:159
Questions No:3

2020-2021areas of parallelograms and trianglescbsechapter 9class 9mathematicsncert
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    2 Answers

    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-9/

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    2. Best Answer
      P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that ar (APB) = ar (BQC).

      Triangle ABP and parallelogram ABCD lie on the same base AB and between the same parallels, AB ∥ CD
      Hence, ar (APB) = (1/2) ar (ABCD) ….(1)
      [∵ If a parallelogram and a triangle are on the same base and between the same parallels, than area of the triangle is half the area of the parallelogram.]
      Similarly,
      Triangle BQC and Parallelogram ABCD lie on the same base AB and between same parallels, AD ∥ BC.
      Hence, ar(BQC = (1/2)ar(ABCD) …(2)
      From the equation (1) and (2), ar (APB) = ar(BQC).

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