Question

how many distinct diagonals does a hexagon have?
______ diagonals
9
question 8
how many diagonals does a hexagon have?
______ diagonals
1

Explanation:

Step1: Recall the formula for the number of diagonals

The formula for the number of diagonals \(d\) in an \(n -\)sided polygon is \(d=\frac{n(n - 3)}{2}\).

Step2: Identify the value of \(n\)

For a hexagon, \(n = 6\).

Step3: Substitute \(n = 6\) into the formula

Substitute \(n=6\) into \(d=\frac{n(n - 3)}{2}\), we get \(d=\frac{6\times(6 - 3)}{2}\).
First, calculate \(6-3=3\), then \(6\times3 = 18\), and \(\frac{18}{2}=9\).

Answer:

\(9\)