The total number of diagonals in a regular polygon is 5.Find the number of sides the polygon has.
Use the following formulae (given n is the no. of sides):
Number of diagonals from a vertex: n-3
Total no. of diagonals: n×[(n-3)/2]
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Answer:
Step-by-step explanation:
5 = n×[(n-3)/2]
10= n×(n-3)
10= n^2 -3n
0= n^2 -3n-10
n=5or n=-2(Not admissible)
No of sides of polygon = 5
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