Problema Solution
a certain triangle has a perimeter of 3067 mi. the shortest side measures 76 m less than the middle side and the longest side 374 mi 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 3067 mi:
a + b + c = 3067
the shortest side measures 76 mi less than the middle side:
a = b - 76
the longest side measures 374 mi more than the middle side:
c = 374 + b
by solving the system of equations:
a + b + c = 3067
a = b - 76
c = 374 + b
........
click here to see the system of equations solved for x, y and z
........
a = 847 mi
b = 923 mi
c = 1,297 mi
The lengths of the three sides are: 847 mi, 923 min and 1,297 mi.