How many non-overlapping triangles can we make in a n-gon (polygon having n sides), by joining the vertices?
(a) n - 1
(b) n - 2
(c) n - 3
(d) n - 4
Solution:
We have to find the number of non-overlapping triangles that can be made in a n-gon by joining the vertices.
A triangle is a simple polygon with 3 sides and 3 interior angles.
A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices.
Non overlapped triangles means the triangles with their vertex on the vertex of Polygon.
Therefore, the number of non-overlapping triangles in an n-gon = n - 2
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☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 13
How many non-overlapping triangles can we make in a n-gon (polygon having n sides), by joining the vertices? (a) n - 1 (b) n - 2 (c) n - 3 (d) n - 4
Summary:
n - 2 non-overlapping triangles can be made in n-gon (polygon having n sides), by joining the vertices.
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