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  4. . In the following figure (not to scale), A B C D is an isosceles trapezium. overlineA B | overlineC D, A B=9 cm and C D=12 cm . A P: P D=B Q: Q C=1: 2. Find P Q.

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Q. . In the following figure (not to scale), $A B C D$ is an isosceles trapezium. $\overline{A B} \| \overline{C D}, A B=9 cm$ and $C D=12$ $cm . A P: P D=B Q: Q C=1: 2$. Find $P Q$.Mathematics Question Image

Geometry

Solution:

$P Q =\frac{1}{3}(C D)+\frac{2}{3}(A B) $
$ =\frac{1}{3}(12)+\frac{2}{3}(9)=10 \,cm$