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A B C is a triangle and P Q is a s...

`A B C` is a triangle and `P Q` is a straight line meeting `A B` in `P` and `A C` in `Q` . If `A P=1c m` , `P B=3c m` , `A Q=1. 5 c m` , `Q C=4. 5 m` , prove that area of ` A P Q` is one-sixteenth of the area of ` A B C` .

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