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Ishita Katyal
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Asked: 2020-11-03T09:54:06+00:00 In:

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

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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 9.3
Page No:163
Questions No:10

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
      Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

      Triangles ABD and ABC are on the same base AB and between same parallels, AB∥ CD.
      Hence, ar (ABD) = ar(ABC)
      [∵ Triangles on the same base (or equal bases) and between the same parallels are equal in area.]
      Subtracting ar (ABO) from both of sides
      ar(ABD) – ar(ABO) = ar(ABC) – ar(ABO)
      ⇒ ar(AOD) = ar(BOC)

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