Obtuse in a Regular Polygon

★ 7/10combinatorics Counting probability Casework

Problem

Three vertices of a regular $n$ -gon are chosen at random. The probability that they form an obtuse triangle is $\dfrac{93}{125}$ . Find all possible values of $n$ .

Answer

Solution

Difficulty	7/10
Topics	combinatorics, Counting, probability, Casework

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