Given:
The perimeter of a triangle = [tex]24x-6[/tex]
The length of two sides are [tex]5x-7[/tex] and [tex]2x+5[/tex].
To find:
The polynomial for the third side of the triangle.
Solution:
We know that the perimeter of a triangle is the sum of its three sides.
Let the unknown side be y.
[tex](5x-7)+(2x+5)+y=24x-6[/tex]
[tex]7x-2+y=24x-6[/tex]
Isolate variable y.
[tex]y=24x-6-7x+2[/tex]
[tex]y=17x-4[/tex]
Therefore, the length of the third side of the triangle is [tex]17x-4[/tex].
