In a regular pentagon, what is the relationship between the number of sides and

In a regular pentagon, what is the relationship between the number of sides and the number of diagonals? (2023)

In a regular pentagon, what is the relationship between the number of sides and the number of diagonals? (2023)

Step 1: Understand what a regular pentagon is. A regular pentagon has 5 sides.
Step 2: Identify the formula for finding the number of diagonals in a polygon. The formula is n(n-3)/2, where n is the number of sides.
Step 3: Substitute the number of sides (n=5) into the formula: 5(5-3)/2.
Step 4: Calculate the expression inside the parentheses: 5-3 = 2.
Step 5: Multiply the result by 5: 5 * 2 = 10.
Step 6: Divide the result by 2: 10 / 2 = 5.
Step 7: Conclude that in a regular pentagon, the number of diagonals is 5, which is equal to the number of sides.

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