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

User Im
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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

User Snowball
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