Number of Triangles in Polygon
The image shows a convex polygon. To determine how many triangles are formed by drawing all the diagonals from a single vertex, we follow a general rule: For any polygon with n sides (an n-gon), the number of diagonals from a single vertex to all non-adjacent vertices is (n - 3), because you cannot draw a diagonal to the vertex itself or to the two adjacent vertices.
In the image provided, the convex polygon appears to be a pentagon, which has 5 sides. So we apply the rule:
Number of triangles formed = n - 3
Number of triangles formed = 5 - 3 = 2
Therefore, by drawing all the diagonals from one vertex in the pentagon, we would form 2 triangles.
