MathDB

249

Part of 1953 Moscow Mathematical Olympiad

Problems(1)

MMO 249 Moscow MO 1953 quadrilateral area S <= (a + c)(b + d)/4}

Source:

8/9/2019
Let a,b,c,da, b, c, d be the lengths of consecutive sides of a quadrilateral, and SS its area. Prove that S≤(a+b)(c+d)4S \le \frac{ (a + b)(c + d)}{4}
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