Question

If all of the diagonals are drawn from a vertex of an n-gon, how many triangles are formed?

n - 2
n - 1
n
n + 1

Answer 1

n-2

Explanation:

Answer 2

The number of triangles formed by connecting one of the vertices to the rest of the vertices is equal to n - 2. The answer is the first choice. As you may observed, for the quadrilateral, we can form 2 triangles. For pentagon, we may form 3 triangles.