In the figure below, seg. PQ ∥ BC. If AP = 15, PB = 12, AQ = 14, find CQ.
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Since PQ∥BC,
Thus using Basic Proportionality Theorem
QC
AQ
=
PB
AP
⇒
x
5
=
6
3
⇒3x=30, cross multiply
∴x=10
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