The measurements of two sides of a triangle are given. if p is the perimeter, find the measure of the third side. p = 9a + 2b

y = 3a + 2b. The measure of the third side is 3a + 2b

The easiest way to solve this problem is using the perimeter of a triangle equation P = x + y + z, where x, y, and z are the sides of the triangle.

With P = 9a + 2b, x = a - b, and z = 5a + b, we can calculate the missing third side y as follow:

Clear y from the perimeter of a triangle equation

y = P - (x + z)

Solving

y = 9a + 2b - (a - b + 5a + b)

y = 9a + 2b - a + b - 5a - b

Grouping the equal terms

y = 9a - a - 5a + 2b + b - b

y = 9a - 6a + 3b - b

y = 3a + 2b

5y

step-by-step explanation:

597

step-by-step explanation: