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26 February, 01:57

Angle A=11x-4, Angle B = 4x-11, and Angle C=63-4x. List the sides of triangle ABC in order from shortest to longest.

A. AB, AC, BC

B. AC, AB, BC

C. BC, AB, AC

D. AB, BC, AC

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Answers (1)
  1. 26 February, 02:13
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    1. The sum of of the interior angles of a triangle is 180°.

    2. Keeping this on mind, you have:

    A+B+C=180

    A=11x-4

    B = 4x-11

    C=63-4x

    3. When you substitute these values, you obtain:

    A+B+C=180

    11x-4+4x-11+63-4x=180

    11x+48=180

    11x=180-48

    11x=132

    x=132/11

    x=12

    3. Therefore:

    A=11 (12) - 4

    A=128°

    B = 4 (12) - 11

    B=37°

    C=63-4 (12)

    C=15°

    5. The answer is:

    A. AB, AC, BC
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