Question

The perimeter of a triangle is 24x - 6. The lengths of two sides of the triangles are represented by the expressions 5x - 7 and 2x + 5.

What polynomial would represent the third side of the triangle?

Answer 1

Given:

The perimeter of a triangle =
`24x-6`

The length of two sides are
`5x-7` and
`2x+5`.

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.

`(5x-7)+(2x+5)+y=24x-6`

`7x-2+y=24x-6`

Isolate variable y.

`y=24x-6-7x+2`

`y=17x-4`

Therefore, the length of the third side of the triangle is
`17x-4`.