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DanielleElmas [232]
2 years ago
12

Solve the triangle. A = 19°, C = 102°, c = 6

Mathematics
1 answer:
GrogVix [38]2 years ago
7 0
We know that

Law of sines established
a/sin A=b/sin B=c/sin C

then
a/sin A=c/sin C------------> a=c*sin A/sin C---------> a=6*sin 19/sin 102
a=1.91 units <span>≈2 units

A+B+C=180</span>°----------> B=180-(A+C)-----> B=1180-(19+102)
B=59°
a/sin A=b/sin B-----------> b=a*sin B/sin A----->2*sin 59/sin 19
b=5.27 units <span>≈5.3 units</span>

the answer is the option 
B = 59°, a ≈ 2, b ≈ 5.3 

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