A diagonal of a polygon is a line segment that connects nonadjacent vertices of the polygon. In the following polygons, a triangle has 3 sides and 0 diagonal, a quadrilateral has 4 sides and 2 diagonals, a pentagon has 5 sides and 5 diagonals, a hexagon has 6 sides and 9 diagonals. Predict the number of diagonals in a 12-sided polygon?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.55P
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A diagonal of a polygon is a line segment that connects nonadjacent vertices of the polygon. In the following polygons, a triangle has 3 sides and 0 diagonal, a quadrilateral has 4 sides and 2 diagonals, a pentagon has 5 sides and 5 diagonals, a hexagon has 6 sides and 9 diagonals. Predict the number of diagonals in a 12-sided polygon?

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