Question

PQRTS is a pentagon. A line through T meets QR produced in U such that SR || UT. Show that ar ( PSUQ) =ar (PQRTS).

Answer 1

PLEASE CLICK ON THE ATTACHMENT TO SEE THE PICTURE, I THINK IT SHOULD BE LIKE THIS ONLY.
SOL:IN THE FIGURE,ΔSTR AND ΔSRU ARE ON THE SAME BASE RS AND BETWEEN THE SAME PARALLEL LINES (RS║UT)
THEREFORE ar(ΔSTR)=ar(ΔSRU) .....(1).
now,ar(PSUQ)=ar(PSRQ)+ar(ΔSRU)
=ar(PSRQ)+ar(ΔRTS).......from (1)
=ar(PQRTS).
HENCE PROVED