How to divide a triangle into n equal area triangles ?
See Solution: Divide a triangle into n triangles
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.
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venus says
I am having problem with this solution for the case when the triangle is non-isosceles.
Keshav says
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.
ninad says
divide the base into n parts. Join it with opposite vertice
puzzlersworld says
@f712cfd3dce837c3bc9562f03acd2625:disqus yups thats the trick
Sebastian Romalli says
There is nothing here…
puzzlersworld says
Please click on See Solution to expand the solution.