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Solve the triangle please! A=13 yards b=9 yards c=5 yards?
Round lengths to the nearest tenth and angle measures to the nearest degree.
1 Answer
- GeronimoLv 71 decade agoFavorite Answer
I hope you meant: a = 13 yards ... (and not A = 13 degrees)
side a = 13 yds: → is opposite angle A
side b = 09 yds: → is opposite angle B
side c = 05 yds: → is opposite angle C
Use the Law of Cosines:
c² = a² + b² − 2 • a • b • cos[C]
(5)² = (13)² + (9)² − 2 • (13) • (9) • cos[C]
cos[C] = 0.96154
C = 15.94 → 16 degrees
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again:
a² = b² + c² − 2 • b • c • cos[A]
(13)² = (9)² + (5)² − 2 • (9) • (5) • cos[A]
cos[A] = - 0.7
A = 134.427 → 134 degrees
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angles: B = 180 − (A + C)
B = 180 − (134 + 16)
B = 30 degrees