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Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is - Mathematics

MCQ

Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is

Options

  •  ΔAOB

  •  ΔBOC

  • ΔDOC

  • ΔADC

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Solution

Given: (1) ABCD is a trapezium, with parallel sides AB and DC

(2) Diagonals AC and BD intersect at O

To find: Area of ΔAOD equals to ?

Calculation: We know that ,” two triangles with the same base and between the same parallels are equal in area.”

Therefore,

Area of  ΔADB = Area of ΔACB

Area of  ΔAOB  + Area of ΔAOD = Area of  ΔAOB + Area of ΔBOC

Area of  ΔAOD = Area of ΔBOC

 

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 15 | Page 61
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