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Question about Triangles: Cevians and Notable Points

Mathematics

Originais Teachy

Triangles: Cevians and Notable Points

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

In a triangle ABC, consider D a point on the line BC such that BD/DC = 2. The line AD is a cevian of triangle ABC. Now, consider point E on line AC and point F on line AB in such a way that DE and DF are parallel to BC. If BE/EA = 3 and CF/FB = 4, what is the ratio AF/FE?
a.
The ratio AF/FE is 1
b.
The ratio AF/FE is 3
c.
The ratio AF/FE is 2.
d.
The ratio AF/FE is 5
e.
The ratio AF/FE is 4

Answer sheet:

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Answer sheet

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