Question

The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is three feet longer than the second side. Find the length of each side.

Answer 1

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

$x=5+y$ and $z=3+y$

We need to determine the length of the sides.

Value of y:

Let us determine the value of y using the perimeter formula.

$Perimeter =x+y+z$

Substituting the values, we get;

$35=5+y+y+3+y$

$35=8+3y$

$27=3y$

 $9=y$

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

$x=5+y$

$x=5+9$

$x=14$

Thus, the length of the first side is 14 feet.

Length of the third side is given by

$z=3+y$

$z=3+9$

$z=12$

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.