document.write( "Question 955365: Find the two possible measures for angle C and side AC for the triangle with the given measurements m\n" ); document.write( "

Algebra.Com's Answer #583729 by Fombitz(32388) $\"\"$ $\"About$

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Using the law of sines,
\n" ); document.write( " $\"sin%2830%29%2F10=sin%28C%29%2F16\"$
\n" ); document.write( " $\"sin%28C%29=sin%2830%29%288%2F5%29\"$
\n" ); document.write( " $\"sin%28C%29=0.8\"$
\n" ); document.write( " $\"C=53.1\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"30%2BB%2B53.1=180\"$
\n" ); document.write( " $\"B=96.9\"$
\n" ); document.write( "Again using the law of sines,
\n" ); document.write( " $\"sin%2830%29%2F10=sin%2896.9%29%2FAC\"$
\n" ); document.write( " $\"AC=10%28sin%2896.9%29%2Fsin%2830%29%29\"$
\n" ); document.write( " $\"AC=19.9\"$ \n" ); document.write( "

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