document.write( "Question 1054511: If both legs are x and the hypotenuse is 10 how do I solve it. \n" ); document.write( "

Algebra.Com's Answer #669716 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
By the pythagorean theorem:
\n" ); document.write( " $\"+x%5E2+%2B+x%5E2+=+10%5E2+\"$
\n" ); document.write( " $\"+2x%5E2+=+10%5E2+\"$
\n" ); document.write( " $\"+x%5E2+=+10%5E2%2F2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+=+sqrt%28+10%5E2%2F2+%29+\"$
\n" ); document.write( " $\"+x+=+10%2Fsqrt%282%29+\"$
\n" ); document.write( "Usually, you don't want square roots
\n" ); document.write( "or other roots on the bottom, so do this:
\n" ); document.write( " $\"+x+=+%28+sqrt%282%29+%2F+sqrt%282%29+%29%2A%28+10%2Fsqrt%282%29+%29+\"$
\n" ); document.write( " $\"+x+=+10%2Asqrt%282%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+14.14%2F2+\"$
\n" ); document.write( " $\"+x+=+7.07+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%2A7.07%5E2+=+10%5E2+\"$
\n" ); document.write( " $\"+2%2A49.98+=+100+\"$
\n" ); document.write( " $\"+99.97+=+100+\"$
\n" ); document.write( "( error due to rounding off )
\n" ); document.write( "OK \n" ); document.write( "

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