+201 How many non-congruent triangles with perimeter 15 inches are there whose side lengths are all integer numbers of inches?
+2407 5, 5, 5,
4, 5, 6
3, 6, 6
4, 4, 7
3, 5, 7
2, 6, 7
1, 7, 7
7 options :)
=^._.^=
+201 thxs:) is there any other way to solve it other than just finding all the possible combinations?
+2407 Absolutely, but I think this way might just be the best way for small cases like this.
It is actually quite efficient if you have a system.
15/3 = 5
15/2 = 7.5
So the highest number has to be 5-7.
5: 1 option
6: 2 options
7: 4 options
You could also use complementary counting, find all numbers that add up to 15, then subtract the ones that don't work for a triangle. :))
=^._.^=
