document.write( "Question 960463: Two angles in a triangle are 49 and 61. If the longest side of the triangle is 15 cm longer than the shortest side, what are the lengths of all three sides of the triangle? \n" ); document.write( "

Algebra.Com's Answer #586978 by Fombitz(32388) $\"\"$ $\"About$

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The other angle is,
\n" ); document.write( " $\"180-49-61=70\"$
\n" ); document.write( " $\"A=49\"$
\n" ); document.write( " $\"B=61\"$
\n" ); document.write( " $\"C=70\"$
\n" ); document.write( " $\"a=S\"$
\n" ); document.write( " $\"c=15%2BS\"$
\n" ); document.write( "Use the law of sines,
\n" ); document.write( " $\"sin%28A%29%2Fa=sin%28C%29%2Fc\"$
\n" ); document.write( " $\"sin%2849%29%2FS=sin%2870%29%2F%28S%2B15%29\"$
\n" ); document.write( " $\"%28S%2B15%29sin%2849%29=Ssin%2870%29\"$
\n" ); document.write( " $\"Ssin%2849%29-Ssin%2870%29=-15sin%2849%29\"$
\n" ); document.write( " $\"S%28sin%2849%29-sin%2870%29%29=-15sin%2849%29\"$
\n" ); document.write( " $\"S=%2815sin%2849%29%29%2F%28sin%2870%29-sin%2849%29%29\"$
\n" ); document.write( " $\"S=61.2\"$
\n" ); document.write( " $\"S%2B15=76.2\"$
\n" ); document.write( "And,
\n" ); document.write( " $\"sin%2861%29%2Fb=sin%2849%29%2F61.2\"$
\n" ); document.write( " $\"bsin%2849%29=61.2sin%2861%29\"$
\n" ); document.write( " $\"b=61.2%28sin%2861%29%2Fsin%2849%29%29\"$
\n" ); document.write( " $\"b=70.9\"$
\n" ); document.write( " \n" ); document.write( "

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