In the figure, MN is parallel to QR
PM=6cm,PQ=10cm
a) what is the length of MQ?
b) what is PN:NR?
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Answer:In the figure PM=6cm
PQ=10cm
therefore MQ=PQ-PM=10-6=4cm
MQ=4cm
In the triangle PQR there are parallel line MQ
We need to prove that PQ:NR
For that we need to draw a parallel line from the point p and in the theorem of parallel line is any two line are parallel and a line passes through that point will be in the same ratio
therefore:PN:NR
There the ratio will be 3:2
Because the length of side PM:MQ=6:4 and it is 3:2(shortest form of 6:4)
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