`A = 102.4^@, C = 16.7^@, a = 21.6` Use the law of sines to solve the triangle. (Find missing sides/angles) Round answers to 2 decimal places.

Given `A=102.4^@, C=16.7^@, a=21.6`

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

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`B=180-102.4-16.7=60.9^@`

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`21.6/sin(102.4)=b/sin(60.9)=c/sin(16.7)`

`21.6/sin(102.4)=b/sin(60.9)`

`b=[21.6sin(60.9)]/sin(102.4)`

` ` `b=19.32`

``

`21.6/sin(102.4)=c/sin(16.7)`

`c=[21.6sin(16.7)]/sin(102.4)`

`c=6.36`