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

Sagot :

Buchinnamani208idn

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
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