Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Eleonore wants to prove that if a line divides two sides in a triangle proportionally, then it is parallel to the third side.

Sagot :

Please find image attached

Answer and explanation:

If (from the image attached) DE is a line segment that divides the sides AB and AC proportionally in ΔABC then we can prove that line segment DE is parallel to BC using the parallel transversal theorem. Based the parallel transversal theorem, the triangles ABC and ADE are similar therefore angles are congruent and line DE must be parallel to line BC

View image buchinnamani208