document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117361>Question 1117361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of triangle OAB are the points O (0,0), A (0,2) and B (3,-1) \r<BR>\n" );
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document.write( "a) the point S is on AB such that OS is perpendicular to AB. Find the coordinates of S<BR>\n" );
document.write( "b) find the area of triangle OAB <BR>\n" );
document.write( "c) the line through the point B, perpendicular to OA, meets OS produced at T. Find the coordinates of T </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732438 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It's all rather elementary; I will outline the solution method and let you do the work so that you learn something from the problem.<br><BR>\n" );
document.write( "(a) Find the equation of the line containing points A and B.<BR>\n" );
document.write( "Use the slope of that line and the coordinates of point O to find the equation of the line OS, knowing that it is perpendicular to the line containing points A and B.<BR>\n" );
document.write( "Solve the pair of equations simultaneously to find where the two lines intersect.  The numbers work out very nicely.<br><BR>\n" );
document.write( "(b) Use the basic formula for the area of a triangle, using AB as the base and OS as the height.  The lengths of AB and OS are easy to find using the Pythagorean Theorem.<br><BR>\n" );
document.write( "(c) The line containing points O and A is vertical, so the line containing B and T will be horizontal; that means you know the y coordinate of point T.  Then use the equation of the line containing OS to find the x coordinate of point T. </SPAN>\n" );
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