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Tell whether the following statement is true or false:

In the adjoining figure, ABCD is a parallelogram and O is a point on the diagonal AC. Then area of triangle AOB = area of triangle AOD.

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True

False

answer is A.

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Detailed Solution

Given ABCD is a parallelogram and O is a point on the diagonal AC.
in a parallelogram abcd o is any point on diagonal ac prove that the area of aob is equal to the area of aod - Maths - TopperLearning.com | yt7qdg7dd

in a parallelogram abcd o is any point on diagonal ac prove that the area of aob is equal to the area of aod - Maths - TopperLearning.com | yt7qdg7dd

As, diagonals of a parallelogram bisect each other, DP = BP.
Area of triangle AOB is,

A = 12 × A O × B P

Now, area of triangle AOD,

A = 12 × A O × D P

But, DP = BP
So, area of triangle AOB = area of triangle AOD
Given statement is true.
Hence, option 1 is correct.

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