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

Sagot :

MrRoyal

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]

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