AA1, BB1, and CC1 are
concurrent cevians of triangle ABC at O (see the infographic below).
A2, B2, and C2 are the
midpoints of AO, BO, and CO, respectively. If S1 S2 and
S3 are the areas of triangle ABC, hexagon A1C2B1A2C1B2,
and triangle A2B2C2, prove that
S1 = 2.S2 = 4.S3
Sketch of problem 981
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981-990 Triangles
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