Question 1187048

 scalene triangles have perimeter {{{less}}} than {{{15 }}}and sides of integral length 

So with that understanding, there are {{{8}}} different triangles that meet the question’s criteria:

[{{{2}}}, {{{3}}}, {{{4}}}]
[{{{2}}}, {{{4}}}, {{{5}}}]
[{{{2}}}, {{{5}}}, {{{6}}}]
[{{{2}}}, {{{6}}}, {{{7}}}]
[{{{2}}}, {{{7}}}, {{{8}}}]
[{{{3}}}, {{{4}}},{{{ 5}}}]
[{{{3}}}, {{{4}}}, {{{6}}}]
[{{{3}}},{{{ 5}}},{{{6}}}]