Consider a polygon of n sides deter-mined by the n noncollinear vertices A, B, C, D. and so on. |
a) Choose any vertex of the polygon. To how many of the remaining vertices of the polygon can the selected vertex be joined to form a diagonal? b) Considering that each of the n vertices in (a) can be joined to any one of the remaining |
.
a)
To find:
The number of the remaining vertices of the polygon can the selected vertex is joined to form a diagonal.
Given:
The following figure shows the given diagram.
Calculation:
All vertex and can be joined to form a diagonal of polygon, except for the selected vertex and two neighborhood vertices of the selected vertex...
b)
To find:
The expression to represents D, the total number of diagonals in polygon of
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