document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026569>Question 1026569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve the problem that is<BR>\n" );
document.write( "The base of an equilateral triangle is  x+y-2=0 and the opposite vertex is  (2,-1) then find the equations of remaining sides of an equilateral triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641829 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=641829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  please help me to solve the problem that is<BR>\n" );
document.write( "The base of an equilateral triangle is x+y-2=0 and the opposite vertex is (2,-1) then find the equations of remaining sides of an equilateral triangle. <BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Sketch the line y = -x+2<BR>\n" );
document.write( "Plot the point (2,-1)<BR>\n" );
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document.write( "Draw a line segment from (2,-1) perpendicular to the line y = -x+2<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "Find the pt of intersection or base of that altitude.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m = 1<BR>\n" );
document.write( "-1 = 2 + b<BR>\n" );
document.write( "b = -3<BR>\n" );
document.write( "Eq:: y = x - 3<BR>\n" );
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document.write( "System::<BR>\n" );
document.write( "y = x - 3<BR>\n" );
document.write( "y = -x+2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add and solve for \"y\"::<BR>\n" );
document.write( "2y = -1<BR>\n" );
document.write( "y = -1/2<BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "x-3 = -x+2<BR>\n" );
document.write( "2x = 5<BR>\n" );
document.write( "x = 5/2<BR>\n" );
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document.write( "Plot the point (5/2,-1/2)<BR>\n" );
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document.write( "Find the distance from (2,-1) to (5/2,-1/2) ; I'll call it \"d\".<BR>\n" );
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document.write( "Sketch the equilateral triangle described in your problem<BR>\n" );
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document.write( "Note: Each of the angles of that triangle is 60 degrees.<BR>\n" );
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document.write( "sin(60) = d/(side of the equilateral triangle)<BR>\n" );
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document.write( "Solve for the side value.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );