Question 1107310
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Since the area of the original triangle was trisected, you have


    - the smallest triangle of the area of {{{(1/3)*S}}}, where S is the area of the original triangle,  and

    - the middle triangle with the area of {{{(2/3)*S}}}.


The three triangles are similar.  The ratio of the areas of the middle to the original is {{{2/3}}}.


Hence, the ratio of their linear elements is  {{{sqrt(2/3)}}}.


It means that the length under the question is  {{{24*sqrt(2/3)}}}  cm.
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