In a triangle ABC, P and Q are points on side AB and AC respectively,such that PQ is parallel to BC.If AP=2.4 cm, AQ=2cm, QC=3cm and BC=6cm, find AB and PQ.

Q. In given figure,

P

and

Q

are points on the sides

A B

and

A C

respectively of

△ A B C

such that

A P = 3.5 c m, P B = 7 c m, A Q = 3 c m

and

Q C = 6 c m

. If

P Q = 4.5 c m

, find

B C

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In a △ABC, the sides AB,BC andCA are 10 cm, 8 cm and 7 cm respectively. In AB a point P is taken such that AP= 4 cm. If PQ is drawn parallel to DC, then its length is equal to

The correct option is D 3.2 cm△APQ △ABC⇒APPQ=ABBC4PQ=108⇒PQ=3.2cm

In a $△ A B C$ , the sides $A B, B C$ and $C A$ are $10$ cm, $8$ cm and $7$ cm respectively. In $A B$ a point $P$ is taken such that $A P =$ $4$ cm. If $P Q$ is drawn parallel to $D C$ , then its length is equal to

The correct option is D $3.2$ cm
$△ A P Q △ A B C$
$\Rightarrow \frac{A P}{P Q} = \frac{A B}{B C}$
$\frac{4}{P Q} = \frac{10}{8}$
$\Rightarrow P Q = 3.2 c m$