document.write( "Question 628926: Which of the following triangles could be right triangles? Check all that apply.
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\n" ); document.write( " B. A triangle with lengths 6 inches, 8 inches, 10 inches
\n" ); document.write( " C. A triangle with lengths 7, 12, 13
\n" ); document.write( " D. A triangle with lengths 8, 15, 17
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Algebra.Com's Answer #395939 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "We try the Pythagorean theorem which holds true \r\n" );
document.write( "for and only for right triangles:\r\n" );
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document.write( "       +  =  \r\n" );
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document.write( "A triangle with lengths 2, 3, 4\r\n" );
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document.write( "2² + 3² ≟ 4²\r\n" );
document.write( "  4 + 9 ≟ 16\r\n" );
document.write( "     13 ≟ 16\r\n" );
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document.write( "No, the Pythagorean theorem does not work, so a\r\n" );
document.write( "triangle with sides 2,3,4 is not a right triangle.\r\n" );
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document.write( "B. A triangle with lengths 6 inches, 8 inches, 10 inches \r\n" );
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document.write( "6² + 8² ≟ 10²\r\n" );
document.write( "36 + 64 ≟ 100\r\n" );
document.write( "    100 ≟ 100\r\n" );
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document.write( "Yes, the Pythagorean theorem works, so a\r\n" );
document.write( "triangle with sides 6,8,10 is a right triangle.\r\n" );
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document.write( "C. A triangle with lengths 7, 12, 13 \r\n" );
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document.write( "7² + 12² ≟ 13²\r\n" );
document.write( "49 + 144 ≟ 169\r\n" );
document.write( "     193 ≟ 169\r\n" );
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document.write( "No, the Pythagorean theorem does not work, so a\r\n" );
document.write( "triangle with sides 7,12,13 is not a right triangle.\r\n" );
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document.write( "D. A triangle with lengths 8, 15, 17 \r\n" );
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document.write( "8² + 15² ≟ 17²\r\n" );
document.write( "64 + 225 ≟ 289\r\n" );
document.write( "     289 ≟ 289\r\n" );
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document.write( "Yes, the Pythagorean theorem works, so a\r\n" );
document.write( "triangle with sides 8,15,17 is a right triangle.\r\n" );
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document.write( "Edwin

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