Mathematics

Question

A certain triangle had a perimeter of 3078 mi . The shortest measures 79 mi less than the middle side, and the longest. Side measures 376 mi more than the middle side find the lengths of the three sides

Answer 1

 

  We know nothing about the length of the middle side.

  THAT is where you assign the variable.

  The measure of the middle side is M.

 

 Perimeter = smallest side + middle side + longest side

      3078   =         M-79    +         M       +     M+376

 

      3078  =    3M + 297

 

     M = (3078 - 297)/3 = 927

 

   Smallest side is    848

   Middle    side is    927

  Largest side    is  1303

 

 The perimeter is 3078, which proves these answers are correct.