Question 137910
a side of the triangular area 5 feet shorter and the other 4 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet.  Determine the length of each side of the triangular area
:
Let x = length of 3rd side
then
(x+4) = length of the longer side
and
(x-5) = length of the shorter side 
:
The perimeter equation:
x + (x+4) + (x-5) = 29
x + x + x + 4 - 5 = 29
3x - 1 = 29
3x = 29 + 1
3x = 30
x = {{{30/3}}}
x = 10
:
The 3 sides: 14 by 10 by 5