Question 845243
Let's start off with the formula for the perimeter of a triangle.

P = a + b + c, where a, b, and c are the lengths for the sides of the triangle.

Since we already given the perimeter in the problem, let's go ahead and substitute that into the equation.

48 = a + b + c.

Now, we are told that the second side is 5 feet longer than the first. The third side is 3 feet longer than the first. 

Let a= the first side. Then let b = second side = a+5. Then let c = the third side = a+3

Now given these values, let's write out the equation again.


48 = a + (a + 5) + (a + 3). 

Now we simply solve for a. Once we find a, we will be able to find b and c.

48 = a + (a + 5) + (a + 3). 

Combine like terms to simplify.

48 = 3a + 8

Subtract 8 from both sides to isolate a.

40 = 3a

Divide both sides by 3.

a  = 13.33 

Now, to find the other sides. We know that a = 13.33,
 that means b = 13.33 + 5 =  18.33 and c = 13.33 + 3 = 16.33
 
Now let's add up all the values to see if they equal 48.

13.33 + 18.33 + 16.33 = 47.99. When we round up it equals 48.