Sunday 30 November 2014

`A = 110^@, a = 125, b = 200` Use the law of sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answer...

Given:  `A=100^@, a=125, b=200`


The Law of Sines:  `a/sin(A)=b/sin(B)=c/sin(C)`


`125/sin(100)=200/sin(B)=c/sin(C)`


` `


`125/sin(100)=200/sin(B)`


`sin(B)=[200sin(100)]/125`


`sin(B)=1.57`


`B=arcsin(1.57)`


It is not possible to find angle B. A triangle cannot be formed from the given information.



Given:  `A=100^@, a=125, b=200`


The Law of Sines:  `a/sin(A)=b/sin(B)=c/sin(C)`


`125/sin(100)=200/sin(B)=c/sin(C)`


` `


`125/sin(100)=200/sin(B)`


`sin(B)=[200sin(100)]/125`


`sin(B)=1.57`


`B=arcsin(1.57)`


It is not possible to find angle B. A triangle cannot be formed from the given information.



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