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

Answer:

$2x + 3y$

Step-by-step 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