document.write( "Question 1197749: One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle
\n" ); document.write( "is 28. Find the lengths of all three sides, to three decimal places.
\n" ); document.write( "

Algebra.Com's Answer #831144 by ikleyn(52798)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle
\n" ); document.write( "is 28. Find the lengths of all three sides, to three decimal places.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "    \"x+%2B+2x+%2B+sqrt%28x%5E2%2B%282x%29%5E2%29\" = 28\r\n" );
document.write( "\r\n" );
document.write( "    \"3x+%2B+sqrt%285%29%2Ax\" = 28\r\n" );
document.write( "\r\n" );
document.write( "    \"x%2A%283%2Bsqrt%285%29%29\" = 28\r\n" );
document.write( "\r\n" );
document.write( "    x = \"28%2F%283%2Bsqrt%285%29%29\" = 5.348 (rounded)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The sides are x= 5.348,  2x = 2*5.348 = 10.695,  \"%28sqrt%285%29%29%2Ax\" = \"sqrt%285%29%2A5.348\" = 11.957.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  5.348 + 10.695 + 11.957 = 28.000.   ! correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );