mrgregory225
Answered

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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?

Sagot :

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].

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