triangle question

Question

A certain triangle has a perimeter of 3061 mi. The shortest side measures 79 mi less than the middle side and the longest side measures 374 mi more than the middle side. find all three lengths

Answer 1

m = middle side

m - 79 = shortest side

m + 374 = longest side

 

m + m - 79 + m + 374 = 3061   combine like terms

3m + 295 = 3061                       subtract 295 from both sides

3m = 2766                                  divide both sides by 3

m = 922

 

The middle length is 922.

 

Now you determine the size of the shortest and longest side.