Question

Diagonal PR and QS of quadrilateral PQRS intersects at T such that PT=TR and PS=QR , show that ar(∆PTS) = ar(∆RTQ)

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Answer 1

1. <PST=<TQR-angle opposite to equal side are equal
2. they are alternate angle so SP||RQ
3. <SPT=<TQR
4. ST=TQ
5. PT=TR
6. Tri PTS~=RTQ
7. AS they are congruent the their area is equal