. 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.

Question

. 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. (A) 11 cm (B) 10.5 cm (C) 10 cm (D) 9.5 cm

Tardigrade Admin · Accepted Answer

P Q =(1/3)(C D)+(2/3)(A B) =(1/3)(12)+(2/3)(9)=10 cm

Q. . In the following figure (not to scale), $A BC D$ is an isosceles trapezium. $\overline{A B} ∥ \overline{C D}, A B = 9 c m$ and $C D = 12$ $c m . A P : P D = BQ : QC = 1 : 2$ . Find $PQ$ .

11 cm

10.5 cm

10 cm

9.5 cm

$PQ = \frac{1}{3} (C D) + \frac{2}{3} (A B)$
$= \frac{1}{3} (12) + \frac{2}{3} (9) = 10 c m$

Q. . In the following figure (not to scale), ABCD is an isosceles trapezium. AB∥CD,AB=9cm and CD=12 cm.AP:PD=BQ:QC=1:2. Find PQ.