document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443499>Question 443499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the exact coordinates of Point P if r=4 square root of 2  Triangle has 45 degree angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305941 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the exact coordinates of Point P if r=4 square root of 2 Triangle has 45 degree angle<BR>\n" );
document.write( "..<BR>\n" );
document.write( "We are working with a right triangle with legs of equal length and a hypotenuse=4&#8730;2<BR>\n" );
document.write( "let x=length of legs<BR>\n" );
document.write( "by pythagorean theorem, <BR>\n" );
document.write( "(4&#8730;2)=sqrt(x^2+x^2)=sqrt(2x^2)<BR>\n" );
document.write( "squaring both sides<BR>\n" );
document.write( "32=2x^2<BR>\n" );
document.write( "x^2=16<BR>\n" );
document.write( "x=+-4<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Point P can have coordinates in all 4 quadrants as follows:<BR>\n" );
document.write( "quadrant I, (4,4)<BR>\n" );
document.write( "quadrant II, (-4,4)<BR>\n" );
document.write( "quadrant III, (-4,-4<BR>\n" );
document.write( "quadrant IV, (4,-4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );