document.write( "Question 1028875: Find the largest angle of the Triangle whose sides are 7cm,5cm,3cm \n" ); document.write( "
Algebra.Com's Answer #643948 by ikleyn(52909)\"\" \"About 
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\n" ); document.write( "Find the largest angle of the Triangle whose sides are 7cm,5cm,3cm
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document.write( "The largest angle  \"alpha\"  is opposite to the longest side, which is 7 cm.\r\n" );
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document.write( "So from the Cosines Law theorem  (see, for example, the lesson  Proof of the Law of Cosines revisited  in this site),  you have \r\n" );
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document.write( "\"7%5E2\" = \"5%5E2+%2B+3%5E2+-+2%2A5%2A3%2Acos%28alpha%29\",   or\r\n" );
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document.write( "\"49\" = \"25+%2B+9+-+30%2Acos%28alpha%29\",   or\r\n" );
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document.write( "\"49+-+25+-+9\" = \"-30%2Acos%28alpha%29\",   or\r\n" );
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document.write( "\"15\" = \"-30%2Acos%28alpha%29\",   or\r\n" );
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document.write( "\"cos%28alpha%29\" = \"-15%2F30\" = \"-1%2F2\".\r\n" );
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document.write( "Hence,  \"alpha\" = 120 degrees.\r\n" );
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document.write( "Answer.  \"alpha\" = 120 degrees.\r\n" );
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