document.write( "Question 43532: \"Find the length of the legs of a right triangle having a perimeter of 56m if the hypotenuse is 25m.\" Thanks for the help! \n" ); document.write( "

Algebra.Com's Answer #28540 by Nate(3500) $\"\"$ $\"About$

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leg = a
\n" ); document.write( "other leg = b
\n" ); document.write( " $\"a+%2B+b+%2B+25+=+56\"$
\n" ); document.write( " $\"a+%2B+b+=+31\"$
\n" ); document.write( " $\"b+=+31+-+a\"$
\n" ); document.write( "Next:
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+c%5E2\"$
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+625\"$
\n" ); document.write( "Plug:
\n" ); document.write( " $\"a%5E2+%2B+%2831+-+a%29%5E2+=+625\"$
\n" ); document.write( " $\"a%5E2+%2B+961+-+62a+%2B+a%5E2+=+625\"$
\n" ); document.write( " $\"2a%5E2+-+62a+%2B+336+=+0\"$
\n" ); document.write( " $\"a%5E2+-+31a+%2B+168+=+0\"$
\n" ); document.write( " $\"%28a+-+24%29%28a+-+7%29+=+0\"$
\n" ); document.write( " $\"a+=+24\"$ and $\"a+=+7\"$
\n" ); document.write( "Plug:
\n" ); document.write( " $\"b+=+31+-+a\"$
\n" ); document.write( " $\"b+=+31+-+24\"$ and $\"b+=+31+-+7\"$
\n" ); document.write( " $\"b+=+7\"$ and $\"b+=+24\"$
\n" ); document.write( "The leg's lengths: 7m and 24m \n" ); document.write( "

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