document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=798899>Question 798899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of triangle ABC is 22 inches, and angle A is congruent to angle B. if AB equals 8 inches, determine the length, in inches, of segment AC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482579 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=482579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is a sketch. (I drew the triangle a little shorter than it should be, just to illustrate a point).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C180%2C-5%2C5%2C-1%2C5%2C%0D%0Atriangle%28-4%2C0%2C4%2C0%2C0%2C4%29%2C%0D%0Alocate%28-4.3%2C0%2CA%29%2Clocate%284%2C0%2CB%29%2C%0D%0Alocate%28-0.1%2C4.5%2CC%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > It is an isosceles triangle.<BR>\n" );
document.write( "The fact that angles A and B have the same measure means that the sides opposite those angles  (side AC and side AB)  have the same measure.<BR>\n" );
document.write( "(In any triangle, a longer side faces a larger angle, and equally long sides face equally large angles).<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of side AC (in inches) = measure of side BC (in inches)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2B8=22 ALIGN=MIDDLE  ALT=\"x%2Bx%2B8=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > because AB measures 8 inches and the perimeter is 22 inches<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solving the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2B8=22 ALIGN=MIDDLE  ALT=\"x%2Bx%2B8=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B8=22 ALIGN=MIDDLE  ALT=\"2x%2B8=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=22-8 ALIGN=MIDDLE  ALT=\"2x=22-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=14 ALIGN=MIDDLE  ALT=\"2x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14%2F2 ALIGN=MIDDLE  ALT=\"x=14%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );