Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How many lines can be drawn joining 2 of these nine points? [3 marks] (ii) Find the number of different triangles that can be formed using of 3 of these nine points as vertices. [3 marks]

Sagot :

MrRoyal

The number of lines and triangles illustrates combination

  • 36 lines can be drawn to join the nine points
  • 84 triangles can be drawn using the nine points

The number of lines that can be drawn

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated  using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

The number of triangles that can be drawn

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated  using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

Read more about combination at:

https://brainly.com/question/11732255

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.