Converse of basic proportionality theorem says that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Given: In triangle JKL, where line segment MN is dividing JK and Jl at M and N respectively.
Now,
Thus,
⇒ segment MN is not parallel to segment KL [by converse of basic proportionality theorem]
Substituting the expression for x in equation (1) into equation (2) gives 2(2y + 7) + 2y = 200 .....(3) Equation (3) simplifies to 6y = 186 Therefore y = 31 feet. Substituting the value for y into (1) gives x = 69 feet.