Question

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Prove that a line that divides two sides of a triangle proportionally is parallel to the third side.

Answer 1

Draw a picture Of a triangle ABC , BC as Base connect D on AB , and E on AC together with a line parallel to Base BC

Λ if using one of the 5 postulate of Euclid:

"If 2 parallel line intersected by a third line, the interior angles are equal."

< B = < D , and < C = < E .

Triangle ABC is similar to ADE

AD/ Ab = AC / AB

Answer 2

https://www.algebra.com/algebra/homework/Triangles/The-line-segment-joining-the-midpoints-of-two-sides-of-a-triangle.lesson it
will help you more

Answer 3

thanks !!
@derricklewis

Answer 4

YW