Question

in ABC, x is a point on AB an y is a point on AC such that AX=3cm; XB= 2cm; AY= 4.5 cm. prove that XY|| BC​

Answer 1

AX=3cm, XB=2cm, AY= 4.5cm, YC=3cm(from figure)

if XY || BC then, $\frac{AX}{XB} = \frac{AY}{YC}$

Therefore $\frac{AX}{XB} =\frac{3}{2}=1.5$ and $\frac{AY}{YC}=\frac{4.5}{3} =1.5$

As these two fractions are equal we can say that XY || BC