Given:
The perimeter of the triangle = 36 feet.
Let the three sides of the triangle be x, y and z.
The measurements of the sides of the triangle are given by
[tex]x=5+y[/tex] and [tex]z=3+y[/tex]
We need to determine the length of the sides.
Value of y:
Let us determine the value of y using the perimeter formula.
[tex]Perimeter =x+y+z[/tex]
Substituting the values, we get;
[tex]35=5+y+y+3+y[/tex]
[tex]35=8+3y[/tex]
[tex]27=3y[/tex]
[tex]9=y[/tex]
Thus, the value of y is 9 feet.
Hence, the length of the second side is 9 feet.
Length of the sides:
Length of the 1st side is given by
[tex]x=5+y[/tex]
[tex]x=5+9[/tex]
[tex]x=14[/tex]
Thus, the length of the first side is 14 feet.
Length of the third side is given by
[tex]z=3+y[/tex]
[tex]z=3+9[/tex]
[tex]z=12[/tex]
Thus, the length of the third side is 12 feet.
Therefore, the length of the sides of the triangle are 14 feet, 9 feet and 12 feet.
