Definition: Menelaus' theorem, a fundamental result in geometry, relates the areas of two triangles that share a common side. This theorem provides insight into geometric figures like right triangles; it helps define ratios involving those angles. Specifically, Menelaus' Theorem states:
Area (A) of ∆ABC = Area (A) of ∆DBC + Area (A) of ∆EBC - 1/2
Base (B) of ∆ABC
Height (h) of ∆DBC or ∆EBC
In terms of triangles, Menelaus' Theorem states that:
Area (A) of ∆DEF = Area (A) of ∆FAB + Area (A) of ∆DEB - 1/2
Base (D) of ∆DEF
Height (h) of ∆FAB or ∆DEB
closed bracket.
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