Question

PQRS is a quadrilateral with SQ as one of its diagonals.if SR=PQ=4cm, SQ=5 cm and SQ is perpendicular to both SR and PQ, then show that ar(triangle PSQ)= ar(triangle SRQ).

Answer 1

∆PSQ & ∆SQR are right angle triangle with base SR &height PQ & SR resp.
using Pythagoras theorem we can prove that area of both the triangle's are equal.

Answer 2

Here to show that tri(PSQ)= tri(SRQ) Reasons: Opposite sides of quadrilateral is equal { line PS = QR , PQ =SR ( given ) }( 2 side of triangle proved same ) Diagonal SQ is a side of both the triangle ( second side proved same ) Thus, it is proved that tri PSQ= tri SRQ