Answer:
17, 56, 41,
Step-by-step explanation:
"third side is 24 more than shortest side"
Let a be the shortest side.
c = a+24
"perimeter is 114"
a+b+c = 114
a+b+(a+24) = 114
2a + b = 90
"one side is 5 more than 3 times the shortest side"
That side must be b; c is an extraneous solution.
b = 3a+5
2a+(3a+5) = 90
a = 17
b = 56
c = 41
(a,b,c) = (17,56,41)
