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Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

A. 56

B. 24

C. 16

D. 8

Answer: Option A

Solution(By Examveda Team)

A triangle needs 3 points.
And polygon of 8 sides has 8 angular points.
Hence, number of triangle formed,
$$\eqalign{ & { = ^8}{{\text{C}}_3} \cr & = \frac{{8 \times 7 \times 6}}{{1 \times 2 \times 3}} \cr & = 56 \cr} $$

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Comments ( 1 )

  1. Shashi
    Shashi :
    7 years ago

    The number of triangles that can be formed by joining the angular points of a polygon of n sides as vertices are n(n-1)(n-2)/6

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