Problema Solution

A certain triangle has a perimeter of 3081 miles. The shortest side measures

74 miles less than the middle​ side, and the longest side measures 377 miles

more than the middle side. Find the lengths of the three sides.

Answer provided by our tutors

perimeter is equal to the sum of all sides

Let 'x' represent the middle side, then 'x-74' represents the shortest side and 'x+377' represents the longest side. 

3081=(x-74)+x+(x+377)

click here to solve for x

x=926 1/3

the middle side is 926 1/3 miles

the shortest length is (926-74) 1/3 = 852 1/3 miles

the longest length is (926+377) 1/3 = 1303 1/3 miles