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Solve for the remaining sides and angles if possible. α = 62.1°, a = 86, b = 91. Find the values of the smaller β and larger β?
The values I got for the smaller Beta triangle are Beta = 46.62, Gamma= 117.90, and c=125.21 for the hypotenuse length. The values that I got for the larger Beta triangle are Beta = 46.98, Gamma= 70.92, and c=29.75 for the hypotenuse length.
2 Answers
- ?Lv 74 years ago
α = 62.1°, a = 86, b = 91.
a/sin α = b/sin β
91 sin 62.1° = 86 sin β
80.42/86 = sin β
0.935116 = sin(β)
The values of the smaller β and larger β:
β = 2 π n+π-sin^(-1)(233779/250000), n element Z
β = 2 π n+sin^(-1)(233779/250000), n element Z
