Which of the following theorems states, “if a line divides two sides of a triangle proportionally, it is parallel to the third side.”? triangle proportionality theorem converse of the triangle proportionality theorem pythagorean theorem converse of the pythagorean theorem.

Converse of triangle proportionality theorem

Step-by-step explanation:

We are given that in a triangle ABC, D and E are some points in AB and AC respectively.

D and E divide AB and AC such that

AD/DB =AE/DC

To prove that DE is parallel to third side BC>

This can be proved using converse of triangle proportionality theorem

REcollect the triangle proportionality theorem that

If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion

So converse is is a line intersects the other sides make proportional intercepts then the line is parallel to the third side.

45 minutes

step-by-step explanation: