Question

In $△$ ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, AC = 10 cm, CB = 30 cm and CQ = 25 cm. PQ is parallel to AB or not.

Answer 1

GIVEN :

$CA=16cm,CP=10cm,CB=30cm,CQ=25cm$

To find whether $PQ\parallel AB$ , we have to use converse of BPT to

check that the sides are in the same ratio.

$\frac{CP}{AC}=\frac{10}{16}=\frac{5}{8}$

$\frac{CQ}{CB}=\frac{25}{30}=\frac{5}{6}$

$\frac{CP}{AC}\ne \frac{CQ}{CB}$

Hence, $PQ$ not $\parallel AB$