A triangle can be divided into two equal triangle by drawing a median on its largest edge
Consider the sample
3 4 5
If I am correct, the 2 small triangles from the first division are (3, 2.5, 2.5) and (4, 2.5, 2.5)
So what is the actual meaning of "equal"???
My signature:
Please make discussion about the algorithm BRFORE posting source code.
We can learn much more in discussion than reading source code.
Their area, but that's completely irrelevant for the problem.
Two triangles (a,b,c): a>=b, b>=c and (a',b',c'): a'>=b', b'>=c' are "similar" (i.e. have the same "style") iff a/a' == b/b' == c/c'.
If you split the two triangles (4,5/2,5/2) and (3,5/2,5/2) again, you get four equal triangles (5/2,2,3/2) (truely equal (congruent) this time), which are similar to the original triangle.
[quote="little joey"]Their area, but that's completely irrelevant for the problem.
Two triangles (a,b,c): a>=b, b>=c and (a',b',c'): a'>=b', b'>=c' are "similar" (i.e. have the same "style") iff a/a' == b/b' == c/c'.
If you split the two triangles (4,5/2,5/2) and (3,5/2,5/2) again, you get four equal triangles (5/2,2,3/2) (truely equal (congruent) this time), which are similar to the original triangle.[/quote]
The area is equal in the case of isoceles,equilateral and right tringle but not for general tringle
