Question 1090479
1) there is no such triangle, because {{{5+6=11<13}}} ,
so is there a typo,
is this problem intended to see if you are paying attention,
is this posting intended to see if we are paying attention,
or is the teacher who proposed this problem not paying attention?
 
2) If we call the length of the shortest side {{{5x}}} ,
and if such a triangle existed,
the length of the other sides would be {{{6x}}} and {{{13x}}} ,
and the perimeter would be {{{5x+6x+13x=24x}}} .
Then, the equation to solve would be
{{{24x=48}}} --> {{{x=48/2}}},
and the solution would be {{{x=2}}} .
That would make the length of the sides of the triangle
{{{5x=5(2cm)=10cm}}} , {{{6x=6(2cm)=12cm}}} , and {{{13x=13(2cm)=26cm}}} .
The problem is that that triangle could not exist in the world I know.