Question

prove that if a line is drawn parallel to one side of a triangle to intersect the
other two sides in distinct points, the other two sides are divided in the same
ratio
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Answer 1

Theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , then the other two sides are divided in the same ratio. which intersects AB and AC at D and F respectively. Observe that ∆BDE and ∆CDE are on the same base DE and between same parallels BC and DE.

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Answer 2

this is diagram ☝️ and proved