PQRTS is a pentagon. A line through T meets QR produced in U such that SR || UT. Show that ar ( PSUQ) =ar (PQRTS).
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CAN YOU PROVIDE THE PIC FOR IT..
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Answered by
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PLEASE CLICK ON THE ATTACHMENT TO SEE THE PICTURE, I THINK IT SHOULD BE LIKE THIS ONLY.
SOL:IN THE FIGURE,ΔSTR AND ΔSRT 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
SOL:IN THE FIGURE,ΔSTR AND ΔSRT 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
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SORRY IN THE FIRST STATEMENT IT SHOULD BE TRIANGLE RSU AND TRIANGLE RST
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Answer:
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