the side of parallelogram PQRS, PQ and PS are produced to T and L respectively such that QT =PQ and SL = PS . prove that TRL is a line ( i.e.,points T,R and L are collinear)
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LS=PS
S is the mid point of PL
PQ || SR
PQ=QT
Q is the mid point of PT
SR=PQ
SR||PQ
2SR=PQ+QT
2SR=PT
SR=1/2PT
Therefore,R is the mid point of LT (BY CONVERSE THEOREM OF MID POINT THEOREM)
Therefore R lies on QT
QRT all are collinear points
Pleasr,Verify the answer with the others
S is the mid point of PL
PQ || SR
PQ=QT
Q is the mid point of PT
SR=PQ
SR||PQ
2SR=PQ+QT
2SR=PT
SR=1/2PT
Therefore,R is the mid point of LT (BY CONVERSE THEOREM OF MID POINT THEOREM)
Therefore R lies on QT
QRT all are collinear points
Pleasr,Verify the answer with the others
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