document.write( "Question 245724: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than twice the other. Find the length of each leg. \n" ); document.write( "
Algebra.Com's Answer #179434 by richwmiller(17219)\"\" \"About 
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a^2+b^2=c^2
\n" ); document.write( "where c=25 m. and a=2b-10 m.
\n" ); document.write( "substitute
\n" ); document.write( "(2b-10)^2+b^2=25^2
\n" ); document.write( "4b^2-40b+100+b^2=625
\n" ); document.write( "5b^2-40b+100=625
\n" ); document.write( "divide both sides by 5
\n" ); document.write( "b^2-8b+20=125
\n" ); document.write( "subtract 20 from both sides\r
\n" ); document.write( "\n" ); document.write( "b^2-8b=105
\n" ); document.write( "complete the square
\n" ); document.write( "take half of 8 and square it=16
\n" ); document.write( "add 16 to both sides
\n" ); document.write( "b^2-8b+16=121
\n" ); document.write( "factor
\n" ); document.write( "(b-4)^2=121
\n" ); document.write( "and get square root
\n" ); document.write( "|b-4|=11
\n" ); document.write( "b-4=11
\n" ); document.write( "b-4=-11
\n" ); document.write( "add 4 to both sides
\n" ); document.write( "b=15 and b=-7\r
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