Question

What is the measure of the third side of a triangle below where P is the measure of the perimeter? 2x-3y x+2y p=5x+2y

Answer 1

`2x + 3y`

Explanation:

Given

Shape: Triangle

`P = 5x + 2y`

Sides:
`2x - 3y` and
`x + 2y`

Required

The measure of the third side

The perimeter of a triangle is the sum of all three sides;

Let the third side be represented by Side3

Hence;

`Side3 + 2x - 3y + x + 2y = 5x + 2y`

Collect like terms

`Side3 + 2x + x - 3y + 2y = 5x + 2y`

`Side3 + 3x - y = 5x + 2y`

Collect like terms

`Side3 = 5x + 2y - 3x + y`

`Side3 = 5x - 3x + 2y + y`

`Side3 = 2x + 3y`

Hence, the measure of the third side is 2x + 3y