PQRS is a parallelogram whose area is 180 cm² and A is any point on the diagonal QS. The area of ∆ ASR = 90 cm². Is the given statement true or false and justify your answer.

Solution:

It is given that

PQRS is a parallelogram whose area is 180 cm²

A is any point on the diagonal QS

area of ∆ ASR = 90 cm²

We know that a diagonal divides it into two triangles of equal areas

So ar (∆ ASR) < ar (∆ SRQ)

Therefore, the statement is false.

✦ Try This: PQRS is a parallelogram whose area is 120 cm² and A is any point on the diagonal QS. Find the area of ∆ ASR.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 9

NCERT Exemplar Class 9 Maths Exercise 9.2 Problem 3

PQRS is a parallelogram whose area is 180 cm² and A is any point on the diagonal QS. The area of ∆ ASR = 90 cm². Is the given statement true or false and justify your answer.

Summary:

The statement “PQRS is a parallelogram whose area is 180 cm² and A is any point on the diagonal QS. The area of ∆ ASR = 90 cm²” is false

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