Two sides of a triangle can be represented by the expressions 3x+8 and 2×2-4x+5.If the perimeter of the triangle is 4×2+2x-10, what expressi

Question

Two sides of a triangle can be represented by the expressions 3x+8 and 2×2-4x+5.If the perimeter of the triangle is 4×2+2x-10, what expression can be used to represent the third side?

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Helga 3 years 2021-08-23T20:40:25+00:00 1 Answers 9 views 0

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    2021-08-23T20:41:50+00:00

    Answer:

    s = 2x²+3x-23

    Step-by-step explanation:

    Given that,

    First side of a triangle = 3x+8

    Second side of a triangle = 2x²-4x+5

    The perimeter of the triangle = 4x²+2x-10

    We need to find the expression for the third side. Let the third side b s.

    Perimeter = Sum of all sides

    4x²+2x-10 = 3x+8 + 2x²-4x+5 +s

    4x²+2x-10 = 2x²-x+13+s

    s = 4x²+2x-10- (2x²-x+13)

    = 2x²+3x-23

    So, the third side will be 2x²+3x-23.

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