document.write( "Question 1196673: please can you help me solve this question,show that if (a,b,c)is a pythagorean triple, then (Ra,Rb,Rc) for any R>0 is also a pythagorean triple. give your geometric interpretation of this. \n" ); document.write( "
Algebra.Com's Answer #829618 by math_helper(2461)\"\" \"About 
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document.write( "We know \"+c+=+sqrt%28a%5E2+%2B+b%5E2%29+\" because of the given information.
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document.write( "Scale (a,b,c) by R:  this results in a triangle with sides (Ra, Rb, Rc).\r
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document.write( "Now notice  
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document.write( "\"+sqrt%28%28Ra%29%5E2+%2B+%28Rb%29%5E2%29+\" 
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document.write( "= \"sqrt%28R%5E2a%5E2+%2B+R%5E2b%5E2%29+\"
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document.write( "= \"+sqrt%28R%5E2%28a%5E2%2Bb%5E2%29%29+\"
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document.write( "= \"R%2Asqrt%28a%5E2+%2B+b%5E2%29+\" 
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document.write( "= Rc\r
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document.write( "The interpretation: scaling a triangle that has sides corresponding to a Pythagorean triple preserves the Pythagorean relationship between the legs and the hypotenuse.  \n" );
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