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AB = 20 cm, m angle A = 30 degrees, and m angle C = 45 degrees. Express the number of centimeters in the length of line BC in simplest radical form.

Thanks!

 #1
avatar+100571 
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Using the Law of Sines

 

20 / sin C  = BC   /  sin A

 

20  / ( 1 /sqrt (2) )   =  BC  / (1/2)

 

sqrt (2) * 20 * (1/2)  =  BC   =   10 sqrt (2)  units

 

 

cool cool cool

 Mar 2, 2018

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