document.write( "Question 938776: the lengths of three sides of a triangle could not be which group of numbers.\r
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document.write( "a) 5, 7, 10
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document.write( "b) 12, 3, 14
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document.write( "c) 5, 3, 1
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document.write( "d) 7, 24, 25 \n" );
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Algebra.Com's Answer #571941 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Think of a big triangle drawn on the ground. \r\n" ); document.write( "\r\n" ); document.write( "The shortest distance between two points is the straight line between them.\r\n" ); document.write( "Therefore, it must be shorter for us to walk straight from one end of the longest\r\n" ); document.write( "side to the other end of the longest side than it is to get there by walking\r\n" ); document.write( "around the other two sides to get there. \r\n" ); document.write( "\r\n" ); document.write( "So we add the smallest two numbers. If what we get is greater than the largest\r\n" ); document.write( "number, then we have the sides of a triangle.\r\n" ); document.write( " \n" ); document.write( "a) 5, 7, 10 \n" ); document.write( " \r\n" ); document.write( "The smaller two are 5 and 7, We add them and get 12. 12 is greater than \r\n" ); document.write( "the remaining side, 10, so 5, 7 and 10 could be the sides of a triangle.\r\n" ); document.write( " \n" ); document.write( "b) 12, 3, 14 \n" ); document.write( " \r\n" ); document.write( "The smaller two are 3 and 12, We add them and get 15. 15 is greater than \r\n" ); document.write( "the remaining side, 14, so 12, 3 and 14 could be the sides of a triangle.\r\n" ); document.write( " \n" ); document.write( "c) 5, 3, 1 \n" ); document.write( " \r\n" ); document.write( "The smaller two are 1 and 3, We add them and get 4. 4 is NOT greater than \r\n" ); document.write( "the remaining side, 5, so 5, 3 and 1 could NOT be the sides of a triangle.\r\n" ); document.write( " \n" ); document.write( "d) 7, 24, 25 \n" ); document.write( " \r\n" ); document.write( "The smaller two are 7 and 24, We add them and get 31. 31 is greater than \r\n" ); document.write( "the remaining side, 25, so 7, 24 and 25 could be the sides of a triangle.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |