document.write( "Question 183505: The length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs. \n" ); document.write( "
Algebra.Com's Answer #137822 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x^2+(x-7)^2=13^2
\n" ); document.write( "x^2+x^2-14x+49=169
\n" ); document.write( "2x^2-14x+49-169=0
\n" ); document.write( "2x^2-14x-120=0
\n" ); document.write( "2(x^2-7x-60)=0
\n" ); document.write( "2(x-12)(x+5)=0
\n" ); document.write( "x-12=0
\n" ); document.write( "x=12 ans.
\n" ); document.write( "12-7=5 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "12^2=5^2=13^2
\n" ); document.write( "144+25=169
\n" ); document.write( "169=169
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