document.write( "Question 1043473: If a right triangle has a hypotenuse of the 5 radical 5 cm and one side is twice as long as the other side, what is the length of its shortest side?. (Simplified radical) \n" ); document.write( "

Algebra.Com's Answer #658619 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the length of the shortest side = $\"+x+\"$
\n" ); document.write( "The length of the longer side is $\"+2x+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Use Pythagorean theorem
\n" ); document.write( " $\"+%28+5%2Asqrt%285%29+%29%5E2+=+x%5E2+%2B+%282x%29%5E2+\"$
\n" ); document.write( " $\"+25%2A5+=+x%5E2+%2B+4x%5E2+\"$
\n" ); document.write( " $\"+5x%5E2+=+5%2A25+\"$
\n" ); document.write( " $\"+x%5E2+=+25+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+2x+=+10+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The shortest side is 5 cm
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+5%2Asqrt%285%29+%29%5E2+=+x%5E2+%2B+%282x%29%5E2+\"$
\n" ); document.write( " $\"+%28+5%2Asqrt%285%29+%29%5E2+=+5%5E2+%2B+10%5E2+\"$
\n" ); document.write( " $\"+25%2A5+=+25+%2B+100+\"$
\n" ); document.write( " $\"+125+=+125+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );