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13 June, 09:02

Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work

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Answers (2)
  1. 13 June, 09:14
    0
    6x + 4x+6 + 8x+3 = 63

    6x+4x+8x = 63 - 3 - 6

    18x = 54

    x = 54/18

    x = 3

    Side AB = 6 (3) = 18

    Side AC = 4 (3) + 6 = 18

    Side BC = 8 (3) + 3 = 27
  2. 13 June, 09:23
    0
    AB = 18

    AC = 18

    BC = 27

    Step-by-step explanation:

    Solve for x first:

    6x + 4x + 6 + 8x + 3 = 63

    6x + 4x + 8x + 6 + 3 = 63

    18x + 9 = 63

    18x = 63 - 9

    18x = 54

    x = 54 / 18

    x = 3

    Now substitute x to all sides.

    AB = 6x

    6 (3) = 18

    AC = 4x + 6

    4 (3) + 6

    12 + 6 = 18

    BC = 8x + 3

    8 (3) + 3

    24 + 3 = 27

    18 + 18 + 27 = 63

    63 = 63
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