Question

1. choose the correct answer.

how many diagonals does a triangle have?
9
0
14
1

1. choose the correct answer.

how many diagonals does a hexagon have?
1
14
27
9

Explanation:

Step1: Recall the formula for the number of diagonals of a polygon

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

Step2: Calculate the number of diagonals for a triangle (\(n = 3\))

Substitute \(n=3\) into the formula: \(d=\frac{3\times(3 - 3)}{2}=\frac{3\times0}{2}=0\).

Step3: Calculate the number of diagonals for a hexagon (\(n = 6\))

Substitute \(n = 6\) into the formula: \(d=\frac{6\times(6 - 3)}{2}=\frac{6\times3}{2}=9\).

Answer:

1. \(0\)
2. \(9\)