document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840574>Question 840574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you are given the coordinates of the vertices of TRIANGLE ABC. Which of the following pieces of information will help you determine the equation of the altitude from A?\r<BR>\n" );
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document.write( "a) The coordinates of A and the negative reciprocal of the slope BC<BR>\n" );
document.write( "b) The negative reciprocal of the slope AB<BR>\n" );
document.write( "c) the midpoint of BC and the coordinates of A<BR>\n" );
document.write( "d) the length of AB and the slope of AC. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506355 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=506355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C4400%2F17%2C-7%2C10%2C-4%2C7%2C%0D%0A%0D%0Aline%28-10%2C0%2C15%2C0%29%2C+line%280%2C-10%2C0%2C10%29%2C+green%28line%28-2%2C5%2C70%2F233%2C294%2F233%29%29%2C%0D%0Alocate%28-2%2C5.6%2CA%29%2Clocate%28-5%2C-2%2CB%29%2C+locate%288%2C6%2CC%29%2C%0D%0Atriangle%28-5%2C-2%2C-2%2C5%2C8%2C6%29%2C+locate%2870%2F233%2C294%2F233%2CD%29+%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "The green line segment AD is the altitude.\r\n" );
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document.write( "Let's reverse the choices to consider:</PRE>d) the length of AB and the slope of AC<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">No, the length of AB nor the slope of AC will help you find AD</PRE>c) the midpoint of BC and the coordinates of A<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">No, because D is not necessarily the midpoint of BC.  It would\r\n" );
document.write( "only be if triangle ABC were isosceles, and that is not necessary.</PRE>b) The negative reciprocal of the slope AB.<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">No because we do not need a perpendicular to AB to find AD's equation.</PRE>a) The coordinates of A and the negative reciprocal of the slope BC.<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Yes because AD is perpendicular to BC, and will have the slope\r\n" );
document.write( "which is the negative reciprocal of the slope of BC, and if we\r\n" );
document.write( "know the coordinates of A, we will have a point on AD and the\r\n" );
document.write( "slope of AD, and we can find the equation of AD using the point-\r\n" );
document.write( "slope formula.\r\n" );
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document.write( "Answer (a).\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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