Complete Question:
The perimeter of triangle DEF is 3x + 3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
[tex]Side\ 3 = 2x+ 3y[/tex]
Step-by-step explanation:
Given
[tex]P = 4x + 3y[/tex] --- Perimeter
[tex]Side\ 1 = x - y[/tex]
[tex]Side\ 2 = x + y[/tex]
Required
Determine Side 3
The perimeter of a triangle is calculated as:
[tex]Permeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
[tex]4x + 3y = x - y + x + y + Side\ 3[/tex]
Collect Like Terms
[tex]4x - x - x+ 3y-y + y = Side\ 3[/tex]
[tex]2x+ 3y = Side\ 3[/tex]
[tex]Side\ 3 = 2x+ 3y[/tex]
