The total number of triangles in a quadrilateral is
4
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The total number of triangles that can be formed within a quadrilateral is
C(4,3) = 4! / (3!(4-3)!) = 4! / (3!1!) = 4
Therefore, there are a total of 4 triangles that can be formed within a quadrilateral.
To find the total number of triangles in a quadrilateral, we need to consider the different types of triangles that can be formed within it.
A quadrilateral has 4 sides, so we can use these sides to form different triangles.
1. One type of triangle that can be formed is called an "internal" triangle. For a quadrilateral, we can form 2 internal triangles by selecting any three vertices (corners) of the quadrilateral.
2. Another type of triangle that can be formed is a "diagonal" triangle. A diagonal is a line segment that connects two non-adjacent vertices of the quadrilateral. For a quadrilateral, we can form 2 diagonal triangles by selecting any two non-adjacent vertices.
So, the total number of triangles in a quadrilateral is 2 internal triangles + 2 diagonal triangles = 4 triangles.