Question

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

Explanation:

Step1: Identify the polygon type

The polygon in the picture is a hexagon, which has \( n = 6 \) sides.

Step2: Recall the formula for triangles from a common vertex

For a polygon with \( n \) sides, the number of triangles formed by drawing diagonals from a single vertex is \( n - 2 \).

Step3: Calculate the number of triangles

Substitute \( n = 6 \) into the formula: \( 6 - 2 = 4 \).

Answer:

4