document.write( "Question 1034791: You have a right triangle where one leg is 3 more than triple the other leg and the hypotenuse is one unit longer than the longest leg. What are the length of the three sides? solve using polynomials \n" ); document.write( "
Algebra.Com's Answer #649468 by stanbon(75887)\"\" \"About 
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You have a right triangle where one leg is 3 more than triple the other leg and the hypotenuse is one unit longer than the longest leg. What are the length of the three sides? solve using polynomials
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\n" ); document.write( "leg:: x
\n" ); document.write( "other leg:: 3x+3
\n" ); document.write( "hypot:: 3x+4
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\n" ); document.write( "(3x+4)^2 = x^2 + (3x+3)^2
\n" ); document.write( "9x^2 + 24x + 16 = x^2 + 9x^2 + 18x + 9
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\n" ); document.write( "6x = -3
\n" ); document.write( "x = -1/2 (that is impossible)
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\n" ); document.write( "What happened?
\n" ); document.write( "The sum of the leg lengths is x + 3x+3 = 4x+3
\n" ); document.write( "And 4x + 3 is greater than the length of the hypotenuse which is 3x+3
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\n" ); document.write( "You cannot have a triangle where the sum of the legs exceeds the
\n" ); document.write( "length of the 3rd side.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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