document.write( "Question 542963: One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is 45 centimeters. Find the lengths of the leg of the triangle. \n" ); document.write( "
Algebra.Com's Answer #354711 by friesr(113)\"\" \"About 
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a^2 + b^2 = c^2
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\n" ); document.write( "\n" ); document.write( "x^2 + (x+9)^2 = 45^2
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\n" ); document.write( "x^2 + x^2+18x+81 = 45^2
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\n" ); document.write( "2x^2 + 18x + 81 = 45^2
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\n" ); document.write( "2x^2 + 18x - 1944 = 0
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\n" ); document.write( "2(x-27)(x+36)
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\n" ); document.write( "x= -36
\n" ); document.write( "x= 27
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\n" ); document.write( "now since a lenght cannot be a negative, the answer is 27
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\n" ); document.write( "check
\n" ); document.write( "27^2 + 36^2 = 45^2
\n" ); document.write( "2025= 2025
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