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Let its sides be x and use the formula: 0.5*(x squared-3x) = 230

So: x squared-3x-460 = 0

Solving the quadratic equation gives x positive value of 23

Therefore the polygon has 23 sides irrespective of it being a regular or an irregular polygon.

Check: 0.5*(23^2-(3*23)) = 230 diagonals

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โˆ™ 2015-02-06 14:46:14
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A polynomial of degree zero is a constant term

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Q: How many sides does an irregular polygon have when it has 230 diagonals showing work?
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