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12 October, 05:25

The perimeter of ABC is 30 feet. AB=5x-7, BC=3x+1, AC=4x. List the angles of ABC in order from smallest to largest

A) Angle A, B, C

B) Angle A, C, B

C) Angle C, B, A

D) Angle C, A, B

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Answers (1)
  1. 12 October, 05:42
    0
    Lets say we have a triangle ABC

    if A is the biggest angle, the side oposite that angle (BC) will be the longest

    so

    perimiter=AB+BC+AC

    P=30=5x-7+3x+1+4x

    find x

    30=5x-7+3x+1+4x

    30=5x+3x+4x-7+1

    30=12x-6

    add 6

    36=12x

    divide 12

    3=x

    evaluate each

    AB=5 (3) - 7=15-7=22

    BC=3 (3) + 1=9+1=10

    AC=4 (3) = 12

    AB>AC>BC

    the oposite one

    C>B>A

    smallest to largest

    A
    answer is option A
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