Solve a triangle when A=40°, B=59°, and c=14.. Created by bm42400. mathematics-us

Answer:The answer is (c) ⇒ C = 81° , a = 9.1 , b = 12.1Step-by-step explanation:∵ m∠A = 40° , m∠B = 59∴ m∠C = 180 - (40 + 59) = 81∵ c = 14By using sin rule∵ ∴ ∵ ∴ ∴ m∠C = 81° , a = 9.1 , b = 12.1

Solve a triangle when A=40°, B=59°, and c=14

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Solve a triangle when A=40°, B=59°, and c=14.

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Ashraf82

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Answer:
The answer is (c) ⇒ C = 81° , a = 9.1 , b = 12.1
Step-by-step explanation:
∵ m∠A = 40° , m∠B = 59
∴ m∠C = 180 - (40 + 59) = 81
∵ c = 14
By using sin rule
∵ $\frac{14}{sin81}=\frac{a}{sin40}$
∴ $a=\frac{14sin40}{sin81}=9.1$
∵ $\frac{14}{sin81}=\frac{b}{sin59}$
∴ $b=\frac{14sin59}{sin81}=12.1$
∴ m∠C = 81° , a = 9.1 , b = 12.1
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