If PQRS are collinear and PS=22,PR=19 then length of QR=13.
Given that PQRS are collinear and PS=22 and PR=19.
We are required to find the length of QR.
Points are collinear when all the points lie on a straight line.
If points P,Q,R and S are collinear, this means that the four points lies on the same straight line.
If point Q is between P and R then PQ+QR=PR-------1
Also if R is between Q and S,then QR+RS=QS-------2
PS=22
PR=19
RS=PS-PR
RS=22-19
RS=3
Since PQ≅RS
Hence PQ=RS=3
From equation 1;
PQ+QR=PR
Substituting the resulting values
3+QR=19
QR=19-3
QR=16
Hence if PS=22, PR=19 then the length of QR=16.
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