The perimeter of a triangle is 82 centimeters. If two sides are equally long and the third side is 7 centimeters longer than the​ others, find the length

Question

The perimeter of a triangle is
82 centimeters. If two sides are equally long and the third side is
7 centimeters longer than the others, find the lengths of the three sides

Answer 1

A triangle has 3 sides.

 

Length of Side 1       +      Length of Side 2       +      Length of Side 3

      x                       +             x                      +     ( x + 7)               = 82

 

             [Let x = length of Side 1]

             ["two sides are equally long"]

             ["third side is 7cm longer than each of the others" (note edit)]

             ["perimeter of a triangle is 82 centimeters"]

 

 x + x + (x+7) = 82

      3x = 75

        x = 25

 

The three side lengths are 25, 25 and 32 cm.      [total 82]