Find the maximum number of sides

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As shown in the figure, AA' = 5, AB = 6, BB' = 3, the minimum value of A'M + MB' is (Figure is not to scale)

415_Find the maximum number of sides.jpg

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6.

If a polygon has the sum of its interior angles less than 2015 degrees. The maximum number of sides is...

Key: 13

Hard level

1. Let a, b, c be three positive integers with a ≤ b ≤ c such that (1 + (1 + 1/a) (1 + 1/b)(1 + 1/c) = 3. There are ... such triples.

Key: 3

Reference no: EM131005323

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