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Starting with the definition of polygon makes much easier to understand why triangle is a polygon.Definition: A polygon is a closed figure bounded by sides.Definition of triangle: Triangle is a closed figure bounded by three sides.Since triangle is also a closed figure bounded by sides therefore, triangle is a polygon.
Triangle
A triangle.
A polygon.
A triangle cannot have two parallel sides. In order for a figure to be a triangle, it must be a closed figure with three sides and three angles. If two of the sides were parallel, there is no way the figure could be closed by only one other line.