Example Question - number of triangles
Here are examples of questions we've helped users solve.
Number of Triangles in a Square
The image shows a geometric shape, which appears to be a square (a regular quadrilateral). The question asks how many triangles are formed by drawing all the diagonals from a single vertex. In a square, there are two diagonals that can be drawn from any single vertex. Drawing both diagonals from one vertex, you divide the square into four triangles. So the answer to the question is four triangles are formed by drawing all the diagonals from a single vertex.
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.
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