How to draw a triangle with knowing the length of 3 heights only???? I tried it,then I found that the product of the two parts of same height will be equal to the other 2 products getting in the same way,Then I tried to do it by drawing it as the bisecting chords of a circle,the product will be same,but not getting the triangle,Pls help me!!!!!!!!

OK let's define some variables first. Let $[ABC]$ be the area of the triangle, and $h_A,$ $h_B,$ and $h_C$ be the heights, respectively. Also, define $a,$ $b,$ and $c$ to be the lengths of segments $AB,$ $AC,$ and $BC,$ respectively. 
Note that, trivially, $a=\frac{2[ABC]}{h_a},$ and so on. Therefore, the sides must be in the form $\frac{2[ABC]}{h_a},\frac{2[ABC]}{h_b},\frac{2[ABC]}{h_c}.$ 
