Question

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

Explanation:

Step1: Recall the formula for number of triangles

The formula for the number of triangles formed by drawing diagonals from a single vertex of an \(n -\)sided polygon is \(n - 2\).

Step2: Determine the number of sides \(n\)

Count the number of sides of the polygon. The polygon has \(n=12\) sides.

Step3: Calculate the number of triangles

Substitute \(n = 12\) into the formula \(n-2\). So, \(12 - 2=10\).

Answer:

\(10\)