document.write( "Question 527470: The hypotenuse of a right triangle is 13 units. If the length of one leg is 2 more than twice the other, then what are their lengths? \n" ); document.write( "
Algebra.Com's Answer #348914 by nerdybill(7384)\"\" \"About 
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The hypotenuse of a right triangle is 13 units. If the length of one leg is 2 more than twice the other, then what are their lengths?
\n" ); document.write( "Let x = one leg
\n" ); document.write( "then
\n" ); document.write( "2x+2 = other leg
\n" ); document.write( ".
\n" ); document.write( "applying Pythagorean theorem:
\n" ); document.write( "x^2 + (2x+2)^2 = 13^2
\n" ); document.write( "x^2 + (2x+2)(2x+2) = 169
\n" ); document.write( "x^2 + 4x^2+8x+4 = 169
\n" ); document.write( "5x^2+8x+4 = 169
\n" ); document.write( "5x^2-25x+33x-165 = 0
\n" ); document.write( "(5x^2-25x)+(33x-165) = 0
\n" ); document.write( "5x(x-5)+33(x-5) = 0
\n" ); document.write( "(x-5)(5x+33) = 0
\n" ); document.write( "x = {-33/5, 5}
\n" ); document.write( "Throw out negative solution (extraneous) leaving:
\n" ); document.write( "x = 5 units (one leg)
\n" ); document.write( ".
\n" ); document.write( "other leg:
\n" ); document.write( "2x+2 = 2(5)+2 = 10+2 = 12 units \n" ); document.write( "
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