document.write( "Question 944241: Which set of line segments could create a right triangle?\r
\n" ); document.write( "\n" ); document.write( " 15, 30, 35
\n" ); document.write( " 15, 36, 39
\n" ); document.write( " 15, 20, 29
\n" ); document.write( " 5, 15, 30 \n" ); document.write( "
Algebra.Com's Answer #575712 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "15, 30, 35\r\n" );
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document.write( "Try the Pythagorean theorem:\r\n" );
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document.write( "  a² + b² = c²\r\n" );
document.write( "15² + 30² = 35²\r\n" );
document.write( "225 + 900 = 1225\r\n" );
document.write( "     1125 = 1225\r\n" );
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document.write( "That's false, so 15, 30, 35 cannot be used to create a right triangle,\r\n" );
document.write( "because the Pythagorean theorem does not give equality.\r\n" );
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document.write( "15, 36, 39\r\n" );
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document.write( "Try the Pythagorean theorem:\r\n" );
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document.write( "   a² + b² = c²\r\n" );
document.write( " 15² + 36² = 39²\r\n" );
document.write( "225 + 1296 = 1521\r\n" );
document.write( "      1521 = 1521\r\n" );
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document.write( "That's true, so 15, 36, 39 can be used to create a right triangle,\r\n" );
document.write( "because the Pythagorean theorem gives equality.\r\n" );
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document.write( "15, 20, 29\r\n" );
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document.write( "Try the Pythagorean theorem:\r\n" );
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document.write( "  a² + b² = c²\r\n" );
document.write( "15² + 20² = 29²\r\n" );
document.write( "225 + 400 = 841\r\n" );
document.write( "      625 = 841\r\n" );
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document.write( "That's false, so 15, 20, 29 cannot be used to create a right triangle,\r\n" );
document.write( "because the Pythagorean theorem does not give equality.\r\n" );
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document.write( "5, 15, 30\r\n" );
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document.write( "No use to try the Pythagorean theorem on this because, to even have any\r\n" );
document.write( "triangle at all,  the sum of the two shorter sides MUST be GREATER THAN the\r\n" );
document.write( "longest side, and 5+15 is only 20, which is not greater than what would\r\n" );
document.write( "have to be the longest side, namely 30.\r\n" );
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document.write( "Answer: 15, 20, 29\r\n" );
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document.write( "Edwin
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