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What is RMO 1991: Composite Number Proofs about?

1) The problem involves a triangle ABC with an interior point P. Lines are drawn from P to the sides of the triangle meeting at points D, E, F. The problem asks to show that a ratio involving the lengths of these line segments is equal to a sum involving the ratios of the lengths of two other line segments. 2) The problem asks to prove that for any four positive real numbers a, b, c, d, their sum divided by the products of the other three numbers is greater than or equal to 4. 3) The problem asks to find

Author

Ashutosh Singh

Language

EN