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# 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

**✦ Try This: **If two adjacent angles of a parallelogram are (x + 5)° and (12x - 15)°, then the ratio of these angles is

**☛ 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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