document.write( "Question 1153570: Let T be a point inside square EFGH such that TE = 1, TF = 2, and TG = 3. Find < ETF. I think the first step is to make another square rotated 90 degrees with F as the origin.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #775854 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " This problem is for advanced students (Math circle level or Math Olympiad level).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Therefore, I will be very short and will give the basic idea, only.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The given data allow to determine the side length of the given square.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    How to do it, you will find in the lesson\r\n" );
document.write( "  \r\n" );
document.write( "        - Find the side of a square if distances are given from an interior point to 3 its vertices \r\n" );
document.write( "\r\n" );
document.write( "    in this site, where similar problem was solved.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "By knowing the square side length, you may apply then the Cosine Law and to find the angle ETF.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Happy learning and happy solving (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );