document.write( "Question 876271: which of the following does not represent the sides of a right triangle?3,4,5 4,5,6 5,12,13 or 6,8,10\r
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Algebra.Com's Answer #528665 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We check to see if the Pythagorean theorem is satisfied.\r\n" );
document.write( "The LONGEST side will be the HYPOTENUSE, c.  It doesn't\r\n" );
document.write( "matter which of the other two sides is a and which is b.\r\n" );
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document.write( "3,4,5 \r\n" );
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document.write( "c=5, a=3, b=4 \r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "c² = a²+b²\r\n" );
document.write( "5² = 3²+4²\r\n" );
document.write( "25 = 9+16\r\n" );
document.write( "25 = 25   That's true so 3,4,5 form a right triangle.\r\n" );
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document.write( "4,5,6 \r\n" );
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document.write( "c=6, a=4, b=5 \r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "c² = a²+b²\r\n" );
document.write( "6² = 4²+5²\r\n" );
document.write( "36 = 16+25\r\n" );
document.write( "36 = 41   That's false so 4,5,6 does not form a right triangle.\r\n" );
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document.write( "5,12,13 \r\n" );
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document.write( "c=13, a=5, b=12 \r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "c² = a²+b²\r\n" );
document.write( "13² = 5²+12²\r\n" );
document.write( "169 = 25+144\r\n" );
document.write( "169 = 169   That's true so 5,12,13 form a right triangle.\r\n" );
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document.write( "6,8,10\r\n" );
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document.write( "c=10, a=6, b=8 \r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "c² = a²+b²\r\n" );
document.write( "10² = 6²+8²\r\n" );
document.write( "100 = 36+64\r\n" );
document.write( "100 = 100   That's true so 6,8,10 form a right triangle.\r\n" );
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document.write( "Edwin
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