Question

The line segment parallel to any sides of a triangle divides other two sides of the triangle ___ .

Answer 1

Let $\Delta ABC$ is a triangle and D, E are two points on $\Delta ABC$.
Also, $DE\parallel BC$.
By Basic Proportionality Theorem, if a line is drawn parallel to any side of the triangle, then it divides the other two sides of the triangle proportionally.

So, $\frac{AD}{DB}=\frac{AE}{EC}$.