Question

in triangle abc if x and y are points on ab and ac respectively such that ax =3 bx=4 ay=5 and yc=9 then state weather xy and bc parallel or not

Answer 1

Answer:

XY is not parallel to BC

Step-by-step explanation:

Concept:

Converse of Basic proportionality theorem:

If a line divides two sides of a triangle in the same ratio, then the line is parallel to the third side

Now,

$\frac{AX}{XB}=\frac{3}{4}\\\\\frac{AY}{YC}=\frac{5}{9}\\\\This\:implies\\\frac{AX}{XB}\:not\:equal\:to\:\frac{AY}{YC}$

By converse basic proportionality theorem,

XY is not parallel to BC