An isosceles triangle has a perimeter of 82 cm. the lengths of the legs of the triangle are represented by (3x +2) and (5x-14). find the length of the base of the triangle.

Perimeter is the sum of all three sides.  Isosceles has two sides the same and one side short.

82 = (3x+2) + (5x-14) + X
82 = 3x + 2 + 5x - 14 + X
82 = 9x -12
94 = 9X
10.44 = X    thats the base
3(10.44)+2 is the one side = 33.3333
5(10.44)-14 is the other side = 38.222

10.44 + 33.33 + 38.22 add up to 82

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