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A scalene triangle, like any other triangle, has zero diagonals. This is because a diagonal is drawn between two vertices that are not adjacent to each other. In a triangle, each vertex is adjacent to both others, so no diagonals exist.

In general, for a polygon with n sides, for each vertex there are n-3 adjacent vertices (that is, all vertices excluding the vertex itself and its two neighbors). However, each diagonal is incident upon two vertices, so one must divide by 2. The number of diagonals is then n(n-3)/2. This does not depend upon the lengths of the sides of the polygon, only upon the number of sides.

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Q: How may diagonals does a scalene triangle have?
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