Question

Question 2 (i)
E and F are points on the sides PQ and PR respectively of a $\Delta PQR$. For the following case, state whether EF || QR.
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

Answer 1

In $\Delta PQR$, E and F are two points on the sides PQ and PR respectively.
(i) PE = 3.9 cm, EQ = 3 cm (Given)
PF = 3.6 cm, FR = 2,4 cm (Given)
$\therefore \frac{PE}{EQ}=\frac{3.9}{3}=\frac{39}{30}=\frac{13}{10}=1.3$ [By using Basic proportionality theorem]
And, $\frac{PF}{FR}=\frac{3.6}{2.4}=\frac{36}{24}=\frac{3}{2}=1.5$
So, $\frac{PE}{EQ}\ne \frac{PF}{FR}$
Hence, EF is not parallel to QR.