document.write( "Question 433964: Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8 radical 2 \n" ); document.write( "

Algebra.Com's Answer #300758 by Gogonati(855) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's x cm the measure of the leg. Using Pythagorean theorem for this triangle we write:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2Bx%5E2=%288sqrt%282%29%29%5E2\"$ ,solve this equation,\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2=128\"$ , divide both sides by 2,\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=64\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=8+cm\"$ . \r
\n" ); document.write( "\n" ); document.write( "Answer:The length of the leg is 8 cm.\r
\n" ); document.write( "\n" ); document.write( "Done \n" ); document.write( "

\n" );