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2 April, 10:11

Law of sines: in △fgh, h = 10, m∠f = 65°, and m∠g = 35°. what is the length of g? use the law of sines to find the answer.

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  1. 2 April, 10:35
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    M∠H = 180° - (65° + 35°) = 180° - 100° = 80°

    The Law of sines:

    h / sin H = g / sin G

    10 / sin 80° = g / sin 35°

    10 / 0.9848 = g / 0.5736

    g = (10 · 0.5736) : 0.9848 = 5.736 : 0.9848 = 5.8245 ≈ 5.8

    Answer: g = 5.8
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