document.write( "Question 40363: The hypotenuse of a right triangle is 6m long. One leg is 1m longer than the other find the length of the shorter leg.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #25834 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
One leg's size = z
\n" ); document.write( "Other leg's size = x
\n" ); document.write( "Equation:
\n" ); document.write( " $\"z+%2B+1+=+x\"$
\n" ); document.write( "Use pythagorus's theorm:
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+c%5E2\"$
\n" ); document.write( " $\"%28z%29%5E2+%2B+%28x%29%5E2+=+%286%29%5E2\"$
\n" ); document.write( " $\"%28z%29%5E2+%2B+%28z+%2B+1%29%5E2+=+%286%29%5E2\"$
\n" ); document.write( " $\"z%5E2+%2B+z%5E2+%2B+2z+%2B+1+=+36\"$
\n" ); document.write( " $\"2z%5E2+%2B+2z+-+35+=+0\"$
\n" ); document.write( " $\"z\"$ is about 3.71m
\n" ); document.write( " $\"x\"$ is about 4.71m \n" ); document.write( "

\n" );