document.write( "Question 1131378: Solve the remaining sides and angles of the Triangle\r
\n" ); document.write( "\n" ); document.write( "A=36degrees
\n" ); document.write( "C=105degrees
\n" ); document.write( "c=52
\n" ); document.write( "solve a, b, B,
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Algebra.Com's Answer #748045 by MathLover1(20850)\"\" \"About 
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given:
\n" ); document.write( "\"A=36\"°
\n" ); document.write( "\"C=105\"°
\n" ); document.write( "\"c=52\"\r
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\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "\"B=180-%28A%2BC%29\"\r
\n" ); document.write( "\n" ); document.write( "\"B=180-%2836%2B105%29\"\r
\n" ); document.write( "\n" ); document.write( "\"B=180-141\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28B=39%29\"°\r
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\n" ); document.write( "\n" ); document.write( "use law of cos \r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29\"
\n" ); document.write( "\"b%5E2=a%5E2%2Bc%5E2-2ac%2Acos%28B%29\"\r
\n" ); document.write( "\n" ); document.write( "=>
\n" ); document.write( "\"a=sqrt%28b%5E2%2Bc%5E2-2bc%2Acos%28A%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=sqrt%28a%5E2%2Bc%5E2-2ac%2Acos%28B%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if given \"c=52\", \"A=36\"°, \"B=39\"°, we have\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2+=+b%5E2+%2B+52%5E2+-2b%2A52+cos%2836%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2+=+b%5E2+%2B+%28-26+-+26+sqrt%285%29%29+b+%2B+2704\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a%5E2+=+b%5E2+-+84.14b+%2B+2704+\"..............eq.1\r
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\n" ); document.write( "\n" ); document.write( "=>\"a+=sqrt%28+b%5E2+-+84.14b+%2B+2704%29+\"....eq.1a\r
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\n" ); document.write( "\n" ); document.write( "now,\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2=a%5E2%2B52%5E2-2a%2A52%2Acos%28B%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2+=+a%5E2++-+80.8a+%2B+2704\"....substitute \"a%5E2\"-eq.1 and \"a\"-eq.1a\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2+=+b%5E2+-+84.14b+%2B+2704+%2B+2704+-80.8sqrt%28+b%5E2+-+84.14b+%2B+2704%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2+-+b%5E2+=-+84.14b++-80.8sqrt%28+b%5E2+-+84.14b+%2B+2704%29+%2B5408\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=-+84.14b++-80.8sqrt%28+b%5E2+-+84.14b+%2B+2704%29+%2B5408\"\r
\n" ); document.write( "\n" ); document.write( "\"+84.14b-+5408+=-80.8sqrt%28+b%5E2+-+84.14b+%2B+2704%29+\"...square both sides\r
\n" ); document.write( "\n" ); document.write( "\"%28+84.14b-+5408%29%5E2+=%28-80.8sqrt%28+b%5E2+-+84.14b+%2B+2704%29+%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"7079.54b%5E2+-+910058%2Ab+%2B+29246464=6528.64%28+b%5E2+-+84.14b+%2B+2704%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"7079.54b%5E2+-+910058%2Ab+%2B+29246464=6528.64+b%5E2+-+549320.+b+%2B+17653442.56+\"\r
\n" ); document.write( "\n" ); document.write( "\"7079.54b%5E2+-+910058%2Ab+%2B+29246464-6528.64+b%5E2+%2B+549320.+b+-17653442.56+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"550.9b%5E2+-+360738%2Ab+%2B+11593000=0\"\r
\n" ); document.write( "\n" ); document.write( "\"550.9%28b+-+620.925%29%28b+-+33.89%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=33.89%29\"\r
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\n" ); document.write( "\n" ); document.write( "substitute in eq.1a\r
\n" ); document.write( "\n" ); document.write( "\"a+=sqrt%28+b%5E2+-+84.14b+%2B+2704%29+\"....eq.1a\r
\n" ); document.write( "\n" ); document.write( "\"a+=sqrt%28+%2833.89%29%5E2+-+84.14%2A33.89+%2B+2704%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=sqrt%28+1148.5321+-+2851.5046%2B+2704%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=sqrt%281001.0275%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28a+=31.64%29+\"\r
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