Question

Question 2 (ii)
E and F are points on the sides PQ and PR respectively of a $\Delta PQR$. For the following case, state whether EF || QR.
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

Answer 1

In ΔPQR, E and F are two points on the sides PQ and PR respectively.
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8cm, RF = 9cm
$\therefore \frac{PE}{QE}=\frac{4}{4.5}=\frac{40}{45}=\frac{8}{9}$ [By using Basic proportionality theorem]
And,$\frac{PF}{RF}=\frac{8}{9}$
So, $\frac{PE}{QE}=\frac{PF}{RF}$
Hence, EF is parallel to QR.