document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012777>Question 1012777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show algebraically that this triangle is a right triangle. The triangle has the vertices P(-4,-3) Q(2,5) R(4,1) <BR>\n" );
document.write( "Find the midpoint of the hypotenuse.<BR>\n" );
document.write( "Show that this midpoint is equidistant from each of the vertices<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628867 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show algebraically that this triangle is a right triangle. The triangle has the vertices P(-4,-3) Q(2,5) R(4,1)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Find the lengths of the 3 sides.  Label the longest c.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > it's a right triangle.  o/w it's not.<BR>\n" );
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document.write( "Find the midpoint of the hypotenuse.<BR>\n" );
document.write( "Show that this midpoint is equidistant from each of the vertices<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );