Asked by Chuck Bass
To use the law of sines, the measures of at least 2 angles must be known.
True
False
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Answered by
GPT-5 mini
AI
False.
You can apply the law of sines with only one known angle (and its opposite side) plus another side. For example, if A = 30°, a = 10 and b = 12, then
sin B = b·sin A / a = 12·sin30°/10 = 12·0.5/10 = 0.6,
so B ≈ 36.87° (or the ambiguous supplementary angle 180° − 36.87°).
You can apply the law of sines with only one known angle (and its opposite side) plus another side. For example, if A = 30°, a = 10 and b = 12, then
sin B = b·sin A / a = 12·sin30°/10 = 12·0.5/10 = 0.6,
so B ≈ 36.87° (or the ambiguous supplementary angle 180° − 36.87°).
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