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find using law of sines

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Cool, the law of sines says that the sine of <A divided by the length of the side opposite the angle (side a) is equal to the sine of <C divided by the length of the side opposite the angle (side c).  So here

(Sin A)/a=(Sin C)/c.  Solving for a:  a (Sin C)=c (Sin A); so a = c (Sin A)/(Sin C)

I hope this helps.  John