document.write( "Question 737623: Please help me to solve this problem. Thank you so much
\n" ); document.write( "The hypotenuse of a right triangle is 4 meters more than the length of the longer leg. The shorter leg is 20 meters. Find the length of the longer leg. \n" ); document.write( "

Algebra.Com's Answer #450472 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Shorter leg = $\"+a\"$
\n" ); document.write( "Longer leg = $\"+b+\"$
\n" ); document.write( "Hypotenuse = $\"+c+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+c+=+b+%2B+4+\"$
\n" ); document.write( " $\"+a+=+20+\"$
\n" ); document.write( "------------
\n" ); document.write( " $\"+a%5E2+%2B+b%5E2+=+c%5E2+\"$
\n" ); document.write( " $\"+20%5E2+%2B+b%5E2+=+%28+b+%2B+4+%29%5E2+\"$
\n" ); document.write( " $\"+400+%2B+b%5E2+=+b%5E2+%2B+8b+%2B+16+\"$
\n" ); document.write( " $\"+400+=+8b+%2B+16+\"$
\n" ); document.write( " $\"+8b+=+384+\"$
\n" ); document.write( " $\"+b+=+48+\"$
\n" ); document.write( "The longer leg is 48 m
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+20%5E2+%2B+48%5E2+=+52%5E2+\"$
\n" ); document.write( " $\"+400+%2B+2304+=+2704+\"$
\n" ); document.write( " $\"+2704+=+2704+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );