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
Answers
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 on
Thus,
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.
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 on
Thus,
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.
Step-by-step explanation: