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A quadrilateral can be divided into 2 triangles that are non-overlapping and don't intersect inside the triangle. The following figure shows the number of non-overlapping triangles that some other polygons can be divided into in a similar way. From this, we can say that when the number of sides of a polygon is p, the number of such non-overlapping triangles that it can be divided into is |
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Answer» (p - 2) is the number of non overlapping triangles formed.Step-by-step explanation:When the POLYGON has 4 sides, there are 2 non overlapping triangles.When the polygon has 5 sides, there are 3 non overlapping triangles.When the polygon has 6 sides there are 4 non overlapping triangles.When the polygon has 7 sides there are 5 non overlapping triangles.and so onThus,Looking into the pattern,If p is the number of sides of the polygon, then the number of non overlapping triangles formed is (p - 2).∴ (p - 2) is the number of non overlapping triangles formed. |
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