document.write( "Question 1052435: What type of triangle (right, obtuse, acute) would the side lengths 6, 13, and the square root of 130 make? Or does it even make a triangle? \n" ); document.write( "

Algebra.Com's Answer #667835 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "What type of triangle (right, obtuse, acute) would the side lengths 6, 13, and the square root of 130 make? Or does it even make a triangle?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " = 11.4 (approximately).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, it is between 6 and 13, of course.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can check that all three \"triangle inequalities\" for the side lengths of a triangle are in place,\r\n" );
document.write( "so the triangle does exist with these side lengths.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The 13 units side is longest.\r\n" );
document.write( "And  =  =  is less than  = 169.\r\n" );
document.write( "\r\n" );
document.write( "It means that the given triangle is acute.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );