Question

In the given figure, PQ || AB; CQ = 4.8 cm QB = 3.6 cm and AB = 6.3 cm. Find : PQ

Answer 1

In ΔCPQ and ΔCAB,

∠PCQ = ∠ACB  ...(Since PQ || AB, so the angles are corresponding angles)

∠C = ∠C   ...(Common angle)

∴ ΔCPQ ∼ ΔCAB  ...(AA criterion for similarity)

${\displaystyle \Rightarrow \frac{PQ}{AB}=\frac{CQ}{CB}}$

${\displaystyle \Rightarrow \frac{PQ}{6.3}=\frac{4.8}{8.4}}$

So, PQ = 3.6