Problema Solution
A certain triangle has a perimeter of 3082mi. The shortest side measures 73mi less than the middle side, and the longest side measures 371mi more than the middle side. Find the lengths of the three sides.
Answer provided by our tutors
let 'a', 'b' and 'c' represent the sides of the triangle and: a<b<c
A certain triangle has a perimeter of 3082 mi:
a + b + c = 3082
the shortest side measures 73 mi less than the middle side:
a = b - 73
the longest side measures 371 mi more than the middle side:
c = 371 + b
by solving the system of equations:
a + b + c = 3082
a = b - 73
c = 371 + b
we find
a = 855 mi
b = 928 mi
c = 1,299 mi
click here to see the step by step solution of the system of equations:
the lengths of the three sides are: 855 mi, 928 min and 1,299 mi.