document.write( "Question 827223: if ∠A =26,∠c= 24,b=15 solve ΔABC \n" ); document.write( "

Algebra.Com's Answer #498579 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "First we find ∠B \r\n" );
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document.write( "  ∠A + ∠B + ∠C = 180°\r\n" );
document.write( "24° + ∠B + 26° = 180°\r\n" );
document.write( "      50° + ∠B = 180°\r\n" );
document.write( "            ∠B = 130° \r\n" );
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document.write( "Next we use the law of sines:\r\n" );
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document.write( "We fill in what we know:\r\n" );
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document.write( "We use the first and second parts of the law of sines to find side \"a\":\r\n" );
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document.write( "Cross-multiply:\r\n" );
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document.write( "a·sin(130°) = 15·sin(26°)\r\n" );
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document.write( "Divide both sides by sin(130°)\r\n" );
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document.write( "Use calculator\r\n" );
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document.write( "a = 8.583793357  (round as your teacher instructed, probably 8.6)\r\n" );
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document.write( "-----\r\n" );
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document.write( "We use the second and third parts of the law of cosines to find side \"c\":\r\n" );
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document.write( "Cross-multiply:\r\n" );
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document.write( "c·sin(130°) = 15·sin(24°)\r\n" );
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document.write( "Divide both sides by sin(130°)\r\n" );
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document.write( "Use calculator\r\n" );
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document.write( "c = 7.964354681  (round as your teacher instructed, probably 8.0)\r\n" );
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document.write( "Edwin

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