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Another geometrical discovery made by Pythagoras is that the diagonal of a square is not a rational multiple of its side. The latter discovery proved the existence of irrational numbers and therefore changed the entire Greek mathematical belief that whole numbers and their ratios could account for geometrical properties. He also discovered a formula to find out how many degrees there are in a polygon. Pythagoras came up with (n-2)180°= the number of degrees in a polygon, where (n) represents the number of sides in the polygon. For example, a triangle has three sides, 3-2=1, 1x180=180, which is the total sum of all the inner angles of a triangle...
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