Question

look at this convex polygon. how many triangles are formed by drawing all the diagonals from a single vertex?

Explanation:

Step1: Recall the formula for number of triangles

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

Step2: Identify the number of sides of the polygon

The given polygon is a quadrilateral (\(n=4\)).

Step3: Calculate the number of triangles

Substitute \(n = 4\) into the formula \(n-2\). So, \(4 - 2=2\).

Answer:

\(2\)