2) 3 4 In the figure, in AABC, line PQ || side BC, If AP = 3, PB = x, AQ = 4 and QC = 6 then find the value of x
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Answer:
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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