Question

Find he number of distinct triangles with integer sides and perimeter 10 that can be constructed.

Answer 1

1,1,8
1,2,7
...
1,4,5
all bad, because each side must be less than the sum of the other two sides.

So, list all the other possibilities and check them out.

Answer 2

Then would it be 2 distinct triangles?

Answer 3

That's what I get.

2,4,4
3,3,4

Answer 4

Same. Thank you