how many diaonalsof atriangle
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3 diagonals
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A triangle has zero diagonals. A diagonal connects any two non-consecutive vertices of a polygon. The problem is in a triangle all vertices are consecutive: there are no unconnected vertices.
Notice in the triangle above all possible line segments are already drawn, AB, AC, and BC. Compare this to the quadrilateral. The line segments AB, BC, CD, and DA are all already drawn, however AC and BD are yet to be drawn, as they connect unconnected vertices.
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