To find: the number of diagonals of the
Answer to Problem 75E
The number of diagonals of the polygon is 20.
Explanation of Solution
Given Information:
Octagon
Concept used:
A line segment connection any two nonadjacent vertices is called a diagonal of a polygon.
Calculation:
The number of combinations of
To make a diagonal, need to choose a pair out of the 8 vertices of the pentagon. One pair will define one diagonal. If we count number of pairs out of 8 vertices, that will also count the number of sides of the octagon. So to consider this, subtract the number of sides of the polygon.
The number of digonal is given by number of pairs out of 8 vertices minus the number of sides.
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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