Find the number of diagonals in a regular pentagon.
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Answer:
A pentagon (5 sides) has only 5 diagonals. Each vertex has two diagonals, so if you counted each diagonal from every vertex twice, you might think there were 10 diagonals.
Step-by-step explanation:
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Number of diagonals in a regular pentagon = 5
Given:
A regular pentagon
To find:
The number of diagonals
Solution:
Given a regular pentagon
Number of sides of pentagon = 5
Note:
The formula for number of diagonals in a regular pentagon with number of sides n is given by
Number of diagonals = n(n-3)/2
As we know number side in pentagon = 5
Number of diagonals = 5(5-3)/2 = 5(2)/2 = 5
Number of diagonals in a regular pentagon = 5
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