Question

在三角形ABC中,已知a等于2倍根号3,b等于6,A等于30度,求B,C和c

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Answer 1

a/SinA=b/SinB=c/SinC
2√3/Sin(π/6)=6/SinB=c/SinC
4√3=6/SinB=c/SinC
SinB=√3/2
B=π/3或2π/3
C=π-(A+B)
C=π/2或π/6
c=4√3SinC
c=4√3或2√3

B=π/3，C=π/2，c=4√3或B=2π/3，C=π/6，c=2√3.

Answer 2

a/sinA=b/sinB
sinB=3根3/2
B=60°

C=180-60-30=90
c=2a=4根3