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  1. The area of a triangle ABC is 10.8 cm². If CP = PB and 2AQ = QB, then the area of the triangle APQ is
    1. 3.6 cm²
    2. 0.9 cm²
    3. 2.7 cm²
    4. 1.8 cm²
Correct Option: D


AP is the median at BC.
∴ Area of ∆ABP = Area of ∆APC
Again, 2AQ = QB

∴ Area of ∆APQ =
1
Area of ∆ABP
3

∴ Area of ∆APQ =
1
Area of ∆ABC
6

=
1
× 10.8 sq. cm
6

= 1.8 sq.cm.



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