How many non-overlapping triangles
Question:

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:

(b) The number of non-overlapping triangles in a n-gon = n – 2, i.e. 2 less than the number of sides.

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