Question

2. In trapezium PQRS, PQ | RS and diagonals PR and OS intersect at point M. Prove that ar (POS) = ar ( QPR) ​

Answer 1

Answer:

pos =pqrs where the points intersects

Answer 2

Answer:

Given:PQ=

3

2

RS

Solution:

⇒

RS

PQ

=

3

2

In △PQR and △RXS

∠SRX=∠QPX (alternate angles)

Also, ∠RSX=∠PQX (alternate angles)

∴△PQR≅△RXS by AA similarity theorem.

Hence,

ar(△RXS)

ar(△PQR)

=(

3

2

)

2

=

9

4