1.

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»

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



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