document.write( "Question 278179: If the sides of a triangle are AB=16, BC=16, and AC=23 what is each degree of all three angles \n" ); document.write( "
Algebra.Com's Answer #202477 by Edwin McCravy(20081)\"\" \"About 
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If the sides of a triangle are AB=16, BC=16, and AC=23
\n" ); document.write( "what is each degree of all three angles.
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document.write( "Let \"a=BC\", \"b=AC\", \"c=AB\"\r\n" );
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document.write( "We use the law of cosines:\r\n" );
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document.write( "\"cos%28A%29=%28b%5E2%2Bc%5E2-a%5E2%29%2F%282bc%29\"\r\n" );
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document.write( "\"cos%28A%29=%2823%5E2%2B16%5E2-16%5E2%29%2F%282%2A23%2A16%29\"\r\n" );
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document.write( "\"cos%28A%29=529%2F736\"\r\n" );
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document.write( "\"cos%28A%29=.71875\"\r\n" );
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document.write( "\"A=%2244.04862567%B0%22\" or \"A=%2244%B02%2755.052%27%27%22\"\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "\"cos%28B%29=%28a%5E2%2Bc%5E2-b%5E2%29%2F%282ac%29\"\r\n" );
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document.write( "\"cos%28B%29=%2816%5E2%2B16%5E2-23%5E2%29%2F%282%2A16%2A16%29\"\r\n" );
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document.write( "\"cos%28B%29=-17%2F512\"\r\n" );
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document.write( "\"cos%28B%29=-.033203125\"\r\n" );
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document.write( "\"B=%2291.90274865%B0%22\" or \"B=%2291%B054%279.895%27%27%22\"\r\n" );
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document.write( "Since ABC is isosceles, we know that angle C=angle A,\r\n" );
document.write( "or we can calculate it as a check with the law of cosines:\r\n" );
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document.write( "\"cos%28C%29=%28a%5E2%2Bb%5E2-c%5E2%29%2F%282ab%29\"\r\n" );
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document.write( "\"cos%28C%29=%2816%5E2%2B23%5E2-16%5E2%29%2F%282%2A16%2A23%29\"\r\n" );
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document.write( "\"cos%28C%29=529%2F736\"\r\n" );
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document.write( "\"cos%28C%29=.71875\"\r\n" );
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document.write( "\"C=%2244.04862567%B0%22\" or \"A=%2244%B02%2755.052%27%27%22\"\r\n" );
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document.write( "Edwin
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