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7 August, 16:36

In ΔKLM, k = 1.8 inches, ∠M=27° and ∠K=116°. Find the length of l, to the nearest 10th of an inch.

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Answers (2)
  1. 7 August, 18:39
    0
    1.2 inches

    Step-by-step explanation:

    Since total angle in a triangle is 180,

    ∠L = 180 - ∠K - ∠M

    ∠L = 180 - 116 - 27

    ∠L = 37°

    Using sine law:

    k/sinK = l/sinL

    1.8/sin (116) = l/sin (37)

    l = sin (37) * 1.8/sin (116)

    l = 1.205245013
  2. 7 August, 19:26
    0
    Since total angle in a triangle is 180,

    ∠L = 180 - ∠K - ∠M

    ∠L = 180 - 116 - 27

    ∠L = 37°

    Using sine law:

    k/sinK = l/sinL

    1.8/sin (116) = l/sin (37)

    l = sin (37) * 1.8/sin (116)

    l = 1.205245013
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