document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170155>Question 1170155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove by means of slope that the three points (3,1), (6,0) and (4,4)<BR>\n" );
document.write( "are the vertices of a right triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795034 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=795034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Label the points:<BR>\n" );
document.write( "A @ (3,1)<BR>\n" );
document.write( "B @ (6,0)<BR>\n" );
document.write( "C @ (4,4)<br>\r<BR>\n" );
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document.write( "Slope_AB = (0-1)/(6-3) = -1/3<BR>\n" );
document.write( "Slope_AC = (4-1)/(4-3) = 3<br>\r<BR>\n" );
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document.write( "We don't need to go any further.  Slope_AB = -1/Slope_AB   so we know immediately line segment AB is perpendicular to line segment AC and ABC is a right triangle.<br>\r<BR>\n" );
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document.write( "(Lines with slopes m1 and m2 are perpendicular if their slopes are related by m2 = -1/m1)<BR>\n" );
document.write( " </SPAN>\n" );
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