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

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

  • (A) 8
  • (B) 56
  • (C) 16
  • (D) 24
  • Solution: Imagine you have an 8-sided polygon.
  • You can make triangles by picking any two other points from each corner.
  • Start with one vertex: there are 21 ways to pick 2 points out of the 7 left.
  • Now multiply that by all 8 corners: that's 168 combinations.
  • But wait, every triangle gets counted at each of its three corners, so you've actually triple-counted.
  • Divide that total by 3 and you get the right answer: 56 triangles.
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Related MCQs:

 ‘NATO’ is an abbreviation of:

  • (A) North Atlantic Treaty Organization
  • (B) Non-Aligned Treaty Organization
  • (C) Non-Aligned Trading Organization
  • (D) North American Transport Organization

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