OJ Board

The problem says that: 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"???

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.

Thanks, get AC

[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

How can I know when should I stop dividing the smaller triangles?

If a triangle has congruity with a triangle which you already got, you could stop dividing it.

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Rio