The perimeter of triangle DEF is 4x+3y . What is the measure of the third side of the triangle?

Question

asked May 28, 2022 117k views

1 Answer

Snowball · Answer 1 · 2022-06-01T05:05:15+0000

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:

$Side\ 3 = 2x+ 3y$

Explanation:

Given

P = 4x + 3y --- Perimeter

$Side\ 1 = x - y$

$Side\ 2 = x + y$

Required

Determine Side 3

The perimeter of a triangle is calculated as:

$Permeter = Side\ 1 + Side\ 2 + Side\ 3$

$4x + 3y = x - y + x + y + Side\ 3$

Collect Like Terms

$4x - x - x+ 3y-y + y = Side\ 3$

$2x+ 3y = Side\ 3$

$Side\ 3 = 2x+ 3y$