document.write( "Question 1198059: In a triangle ABC the angle A is 62 degrees, and the lengths of two sides are, a=6 and side b=10. What is the length of side c.\r
\n" ); document.write( "\n" ); document.write( "One of the following possible answers follow
\n" ); document.write( "A) 6
\n" ); document.write( "B) 8
\n" ); document.write( "C) 10
\n" ); document.write( "D) 12
\n" ); document.write( "E) None of these
\n" ); document.write( "

Algebra.Com's Answer #831570 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"A=+62\" degrees\r
\n" ); document.write( "\n" ); document.write( "\"+a=6\" \r
\n" ); document.write( "\n" ); document.write( "\"+b=10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " use The Law of Cosines\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2+=+b%5E2+%2B+c%5E2+-+2bc+%2A+cos%28A%29\"\r
\n" ); document.write( "\n" ); document.write( "\"6%5E2+=+10%5E2+%2B+c%5E2+-+20c+%2A+cos%2862%29\".................\"cos%2862%29+\"\"0.469472\"\r
\n" ); document.write( "\n" ); document.write( "\"36=+100%2B+c%5E2+-+20c+%2A0.469472\"\r
\n" ); document.write( "\n" ); document.write( " \"c%5E2-+9.38944c%2B100-36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"c%5E2-+9.38944c%2B64=0\"..........using quadratic formula we get\r
\n" ); document.write( "\n" ); document.write( "\"c+=+4.69472+-+6.47762%2Ai\"
\n" ); document.write( "\"c+=+4.69472+%2B+6.47762%2Ai\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since solutions are complex umbers, a triangle with such parameters doesn't exist\r
\n" ); document.write( "\n" ); document.write( "answer:\r
\n" ); document.write( "\n" ); document.write( "E) None of these\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );