question_answer

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

A) perpendicular

B) parallel

C) equal

D) None of these

Correct Answer: B

Solution :

(converse of BPT) If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

\[\frac{AD}{DB}=\frac{AE}{EC}\]             (given)

then,  \[DE|\,|\,\,BC\]