document.write( "Question 479118: if a=√3+1,B=30 degrees, C=45 degrees then c=? \n" ); document.write( "

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if a=√3+1,B=30 degrees, C=45 degrees then c=?
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\n" ); document.write( "Let A, B, & C be the 3 angles of a triangle, and a, b, and c the corresponding sides opposite these angles:
\n" ); document.write( "A+B+C=180º
\n" ); document.write( "A+30+45=180
\n" ); document.write( "A=180-75=105º
\n" ); document.write( "Using Law of Sines
\n" ); document.write( "sin A/a=sin C/c
\n" ); document.write( "c=(sin C/sin A)*a
\n" ); document.write( "c=(sin 45/sin 105)*√3+1
\n" ); document.write( "c=2 \n" ); document.write( "

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