The two shorter sides call them a and b must be greater than the longest side c
c < a +b ,
The longest side above is 28 cm, the two shorter sides 12 cm and 15 cm only add to 27 cm.
Nope. because a triangle has to satisfy a^2+b^2=c^2
a=12, b=15, c=28
12^2+15^2=369
28^2 is not 369, so in other words, NO
No.