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Divide a triangle into n triangles

(6 votes, average: 2.67 out of 5)

November 3, 2012 by asinghal 6 Comments

How to divide a triangle into n equal area triangles ?
See Solution: Divide a triangle into n trianglesHide Solution

For any triangle its area can be calculated using the formula base * height/2. So we can divide a triangle into n triangles of equal area by simply dividing the base into n equal parts.

Explanations :
For example to divide the triangle in the image below into 4 equal triangles, we can simply divide its base of 8cms to 4 equal parts of 2cms each and form the 4 triangles of equal area.

divide a triangle into n triangles

divide a triangle into 4 triangles of equal area

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Comments

  1. venus says

    January 15, 2014 at 7:40 am

    I am having problem with this solution for the case when the triangle is non-isosceles.

    Reply
    • Keshav says

      March 16, 2014 at 7:18 am

      It would still work. As explained, area = base*height/2, and since the height remains the same, if we divide the base into equal length we would get triangles of equal areas.

      Reply
  2. ninad says

    January 21, 2013 at 7:33 am

    divide the base into n parts. Join it with opposite vertice

    Reply
    • puzzlersworld says

      January 21, 2013 at 4:36 pm

      @f712cfd3dce837c3bc9562f03acd2625:disqus yups thats the trick

      Reply
  3. Sebastian Romalli says

    December 20, 2012 at 4:19 am

    There is nothing here…

    Reply
    • puzzlersworld says

      December 30, 2012 at 2:09 pm

      Please click on See Solution to expand the solution.

      Reply

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