document.write( "Question 1083771: The hypotenuse of a right triangle is twice as long as one of the legs. If the other leg is the square root of 8, find the other leg. So I thought the problem would be set up as x^2 + square root of eight squared = 2x squared. but the answer after I work the problem is not correct. Please help! My second day on this problem! \n" ); document.write( "

Algebra.Com's Answer #697815 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
The hypotenuse of a right triangle is twice as long as one of the legs. If the other leg is the square root of 8, find the other leg. So I thought the problem would be set up as x^2 + square root of eight squared = 2x squared. but the answer after I work the problem is not correct.
\n" ); document.write( "-------------
\n" ); document.write( "1 side = sqrt(8)
\n" ); document.write( "Other side = a
\n" ); document.write( "c = 2a
\n" ); document.write( "---
\n" ); document.write( "c^2 = a^2 + 8
\n" ); document.write( "(2a)^2 = a^2 + 8
\n" ); document.write( "4a^2 = a^2 + 8
\n" ); document.write( "3a^2 = 8
\n" ); document.write( "a^2 = 8/3
\n" ); document.write( " $\"a+=+sqrt%288%2F3%29+=+2sqrt%286%29%2F3\"$
\n" ); document.write( " \n" ); document.write( "

\n" );