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10 October, 08:14

A triangle has a perimeter of 160cm. Side A is 5cm shorter than twice side B, and side C is 5cm longer than side B. Find the length of each side.

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  1. 10 October, 09:58
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    B = x

    A = 2x - 5

    C = x + 5

    The perimeter P = A + B + C and P = 160 cm

    Substitute

    (2x - 5) + x + (x + 5) = 160

    (2x + x + x) + (-5 + 5) = 160

    4x = 160 |:4

    x = 40 cm

    A = 2x - 5 → A = 2 (40) - 5 = 75 cm

    B = x → B = 40 cm

    C = x + 5 → C = 40 + 5 = 45 cm
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