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SMO 2018 Open Round 1 Question 16

SMO · SMO 2018 Open Round 1

Question 16

A triangle $A'B'C'$ is formed with sides whose lengths are the lengths of the medians of a triangle ABC. Suppose the product of the lengths of the three sides of ABC is 640. Find the product of the lengths of the medians of the triangle $A'B'C'$.