document.write( "Question 122761: Solve.\r
\n" ); document.write( "\n" ); document.write( "The longer leg of a right triangle is 3 cm less than twice the shorter leg. The hypotenuse is 18 cm long. Find the length of the shorter leg. \n" ); document.write( "
Algebra.Com's Answer #90124 by checkley71(8403)\"\" \"About 
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X^2+(2X-3)^2=18^2
\n" ); document.write( "X^2+4X^2-12X+9=324
\n" ); document.write( "5X^2-12X+9-324=0
\n" ); document.write( "5X^2-12X-315=0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "X=(12+-SQRT[-12^2-4*5*-315])/2*5
\n" ); document.write( "X=(12+-SQRT[144+6300])/10
\n" ); document.write( "X=(12+-SQRT6444)/10
\n" ); document.write( "X=(12+-80.27)/10
\n" ); document.write( "X=(12+80.27)/10
\n" ); document.write( "X=92.27/10
\n" ); document.write( "X=9.227 ANSWER FOR THE SHORTER LEG.
\n" ); document.write( "2*9.227-3=18.454-3=15.454 FOR THE LONGER LEG.
\n" ); document.write( "PROOF
\n" ); document.write( "9.227^2+15.454^2=324
\n" ); document.write( "85.138+238.826=324
\n" ); document.write( "324~324
\n" ); document.write( " \n" ); document.write( "
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