Question

PLEASE HELP

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.

Answer 1

Explanation:

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