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one face of this polyhedron is a pentagon. the polyhedron has a total of six vertices pentagonal pyramid a rectangular prism has dimensions 10 cm by 12 cm by 6 cm. what is the sum of the lengths of the edges
Polygon Diagonals. The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3). However, this would mean that each diagonal would be drawn twice, (to and from each vertex), so the expression must be divided by 2.