Let 'a', 'b' and 'c' represent the sides of the triangle and: a<b<c

A certain triangle has a perimeter of 3063 mi:

a + b + c = 3063

The shortest side measures 79 mi less than the middle side:

a = b - 79

The longest side measures 379 mi more than the middle side:

c = 379 + b

We find the solution by solving the system of equations:

a + b + c = 3063
a = b - 79
c = 379 + b

........

click here to see the system of equations solved for x, y and z

........

a = 842 mi

b = 921 mi

c = 1,300 mi

The lengths of the three sides are: 842 mi, 921 min and 1,300 mi.