document.write( "Question 529787: please help me: a square with 4 vertices (0,0), (m,0), (0,m) find the fourth vertex
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #349715 by swincher4391(1107) $\"\"$ $\"About$

You can put this solution on YOUR website!
A square, by definition, has equal side length for all 4 sides. So let's use the distance formula between any two adjacent points.\r
\n" ); document.write( "\n" ); document.write( "Try, (0,0) (0,m)\r
\n" ); document.write( "\n" ); document.write( "sqrt((0-m)^2 + (0,0))
\n" ); document.write( "sqrt(m^2)
\n" ); document.write( "m\r
\n" ); document.write( "\n" ); document.write( "Our side length is m.\r
\n" ); document.write( "\n" ); document.write( "Let's assume m is a positive number.\r
\n" ); document.write( "\n" ); document.write( "Then (0,0) is our bottom left corner.
\n" ); document.write( "(m,0) is our bottom right corner
\n" ); document.write( "(0,m) is our top left corner\r
\n" ); document.write( "\n" ); document.write( "We need to find the top right corner.\r
\n" ); document.write( "\n" ); document.write( "We need to travel m units up from our bottom right corner.
\n" ); document.write( "or
\n" ); document.write( "We need to travel m units right from our top left corner.\r
\n" ); document.write( "\n" ); document.write( "Either way we will end up with the same point (m,m) which is our 4th vertex. So our square is (0,0) (m,0) (0,m) (m,m) \n" ); document.write( "

\n" );