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

(a) ΔAOB

(b) ΔBOC

(c) ΔDOC

(d) 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,

Hence the correct answer is option (b).

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