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Question

In the following figure drawn, line PY side BC, AP=6, PB=12, AY=5, YC=x, then find x.
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Solution

In ΔABC, line l side BC,
By the Theorem of Basic Proportionality,
AYYC=APPB
5x=612
x×6=5×12
x=5×126
x=5×2
Therefore, x=10 units.

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