document.write( "Question 259997: Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle.\r
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Algebra.Com's Answer #191529 by Edwin McCravy(20056)\"\" \"About 
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Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle.
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document.write( "Since a,b and c are a Pythagorean triple,\r\n" );
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document.write( "\"a%5E2%2Bb%5E2=c%5E2\"\r\n" );
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document.write( "Multiply both sides by by \"k%5E2\"\r\n" );
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document.write( "\"k%5E2a%5E2%2Bk%5E2b%5E2=k%5E2c%5E2\"\r\n" );
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document.write( "That can be written as \r\n" );
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document.write( "\"%28ka%29%5E2+%2B+%28kb%29%5E2=%28kc%29%5E2\"\r\n" );
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document.write( "which proves that ka, kb, and kc also\r\n" );
document.write( "satisfy the Pythagorean theorem equation and\r\n" );
document.write( "therefore can be side lengths of a right \r\n" );
document.write( "triangle. \r\n" );
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document.write( "Edwin
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