<h2>
Answer:</h2>
The expression which represents the third side of the triangle is:
s-1
The length of the third side of the triangle is:
17/3 inches.
<h2>
Step-by-step explanation:</h2>
It is given that:
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in.
If s represents the length of the second side.
Then the first side of the triangle is: s-4
and the third side of the triangle is given by: 3+(s-4)
=3+s-4
= s-4+3
= s-1
Hence, the third side of the triangle is represented by: s-1
Also, the Perimeter of the triangle is: 15 in.
We know that the perimeter is the sum of the length of all the outer boundaries of a figure.
i.e.
(s-4)+s+(s-1)=15
i.e.
s-4+s+s-1=15
s+s+s-4-1=15
3s-5=15
3s=15+5
3s=20
s=20/3 in.
Hence, the third side is given by: (20/3)-1= 17/3 inches.
