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Because it has only 3 sides and a polygon must have 4 or more sides to have diagonals. A diagonal of a polygon is a line segment which connects two non-adjacent vertices. Since from any vertex of a triangle, you are adjacent to both of the other vertex, there are not any non-adjacent vertices.

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Q: Why can't you draw a diagonal in a triangle?
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If you draw one diagonal inside a pentagon what two shapes are formed?

triangle and trrapezium


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