Prove Ceva's Theorem.
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Let h1 and h2 be the altitudes of triangles ABG, BGC and ADG, GDC, respectively. Let the area of the triangle be denoted using closed square brackets such as [ABG], [BGC], and so on. When h1 and h2 are constructed, [BGC] is equal to 0.5(GC)(h1) and [ABG] is equal to 0.5(AG)(h1).
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