document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956269>Question 956269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With side lengths of 4, 5, and 7...what type of triangle is this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584228 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S=short side=4 units; M=middle side=5 units; L=long side=7  units<BR>\n" );
document.write( "S+M>L So it can be a triangle<BR>\n" );
document.write( "If three sides are equal then it is an equilateral triangle. <BR>\n" );
document.write( "If two sides are equal then it is an isosceles triangle.<BR>\n" );
document.write( "If no sides are equal then it is a scalene triangle.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2BM%5E2=L%5E2 ALIGN=MIDDLE  ALT=\"S%5E2%2BM%5E2=L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then it is a right triangle.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2BM%5E2%3EL%5E2 ALIGN=MIDDLE  ALT=\"S%5E2%2BM%5E2%3EL%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then it is an acute triangle.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2BM%5E2%3CL%5E2 ALIGN=MIDDLE  ALT=\"S%5E2%2BM%5E2%3CL%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then it is an obtuse triangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2BM%5E2 ALIGN=MIDDLE  ALT=\"S%5E2%2BM%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >__<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2 ALIGN=MIDDLE  ALT=\"L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2units%5E2%2B5%5E2units%5E2 ALIGN=MIDDLE  ALT=\"4%5E2units%5E2%2B5%5E2units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >__<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2units%5E2 ALIGN=MIDDLE  ALT=\"7%5E2units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16units%5E2%2B25units%5E2 ALIGN=MIDDLE  ALT=\"16units%5E2%2B25units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >__<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49units%5E2 ALIGN=MIDDLE  ALT=\"49units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41units%5E2 ALIGN=MIDDLE  ALT=\"+41units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >__<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49units%5E2 ALIGN=MIDDLE  ALT=\"49units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > 41<49, no sides equal, so this is an obtuse triangle.<BR>\n" );
document.write( "ANSWER: Since the triangle has no equal sides, it is an obtuse scalene triangle. </SPAN>\n" );
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