document.write( "Question 982564: Solve the triangle.
\n" ); document.write( "A = 46°, a = 34, b = 27
\n" ); document.write( "I know that B = 34.8°, C = 99.2° but can't figure what c is. Is this triangle solvable?
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Algebra.Com's Answer #603375 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
we use the law of sines, that is
\n" ); document.write( "(a/sin(A)) = (b/sin(B)) = (c/sin(C))
\n" ); document.write( "we are given
\n" ); document.write( "(34/sin(46)) = (27/sin(B))
\n" ); document.write( "34sin(B) = 26sin(46)
\n" ); document.write( "34sin(B) = 18.702834809
\n" ); document.write( "sin(B) = 0.550083377
\n" ); document.write( "note use inverse sin function to find angle B
\n" ); document.write( "B = 33.372733167 approx 33.4 degrees then
\n" ); document.write( "C = 180 - (46 + 33.4) = 100.6
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\n" ); document.write( "(b/sin(B)) = (c/sin(C))
\n" ); document.write( "27/0.550083377 = c/0.982935349
\n" ); document.write( "0.550083377 * c = 27 * 0.982935349
\n" ); document.write( "0.550083377 * c = 26.539254427
\n" ); document.write( "c = 48.245876056 approx 48.2
\n" ); document.write( "therefore
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\n" ); document.write( "A=46 degrees, B=33.4 degrees, C=100.6 degrees
\n" ); document.write( "a=34, b=27, c=48.2
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