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Question about Triangles: Menelaus' Theorem

Mathematics

Originais Teachy

Triangles: Menelaus' Theorem

Easy

(Originais Teachy 2025) - Question Easy of Mathematics

On a farm, a farmer notices a triangle created by three farms: A, B, and C. A straight road runs through farm A, intersecting side BC at point D, side AB at point E, and side AC at point F. Using Menelaus's Theorem, which of the following ratios accurately represents the relationship between the segments created when the road intersects the sides of the triangle?
a.
The sum of the segment ratios is equal to 1.
b.
The product of the segment ratios is equal to 2.
c.
The product of the segment ratios is equal to -1.
d.
The product of the segment ratios is equal to 1.
e.
The product of the segment ratios is equal to 1/2.

Answer sheet:

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Answer sheet

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