The sides of a triangle are in the ratio of 1: 2: 2 and the perimeter of the triangle is 15 feet. the length of the shortest

So let the sides be x,2x and 2x

so putting in eqn;

x+2x+2x = 15
5x=15
x=3

so the shortest side is x and
that is 3 ft answer !!

Answer=3

1:2:2

1+2+2=5

The shortest side is 1/5 the perimeter

1/5 P=(shortest side)
1/5(15)=shortest side
3=shortest side

Answer=3 feet

Attached the solution and work.
[tex]The sides of a triangle are in the ratio of 1: 2: 2 and the perimeter of the triangle is 15 feet. th[/tex]

Let x be shortest side  then 

x + 2x + 2x = 15
5x = 15
x = 3

shortest side is 3 feet long

We let x be the multiple of each side of the triangle. Then, we add all sides to obtain the perimeter.

1x + 2x + 2x = 15
5x = 15
x = 15/5
x = 3

The multiple is 3. We multiply this to the ratio to get the actual lengths of the sides. That would be 3, 6 and 6. Thus, the shortest side is 3 feet.