Question

using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?

Explanation:

Step1: Recall the formula

The formula to find the number of triangles formed by diagonals from a common vertex in an \(n -\)sided polygon is \(n - 2\).

Step2: Identify the number of sides

The given polygon is a nonagon (9 - sided polygon), so \(n=9\).

Step3: Calculate the number of triangles

Substitute \(n = 9\) into the formula \(n - 2\). We get \(9-2=7\).

Answer:

7