The perimeter of a triangle is, P = 7x2 - 5x + 3. One side of the triangle is 3x2 + 2x - 1 and another side is x - 2. What is the value of the third side of the triangle? Quiz.

side 3 = 4x² - 8x + 9

Step-by-step explanation:

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perimeter = 7x² - 5x + 3

side₁ = 3x² + 2x - 1

side₂ = x-2

to find the perimeter of a shape, you add the lengths of all the sides.

the formula looks something like this:

perimeter = side₁ + side₂ + side₃

we know side₁ and side₂ but not side₃

to find side₃, we just need to subtract side₁ and side₂ from the perimeter:

side₃ = perimeter - (side₁ + side₂)

now, plug in what we know via PEMDAS

7x² - 5x + 3 - (3x² + 2x - 1 + x - 2) = s₃      

7x² - 5x + 3 - (3x² + 3x - 3) = s₃                 distribute the negative to the ()

7x² - 5x + 3 - 3x² - 3x + 3 = s₃                   combine like terms

4x² - 8x + 9 = s₃  

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step-by-step explanation:

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