document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184450>Question 184450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find out if two triangles are similar? I know that the triangles' angles must be congruent, and their sides must be proportional. How do you determine if the sides are proportional?\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the problem:<BR>\n" );
document.write( "Are any of these triangles similar? If so, write the appropriate similarity statement.\r<BR>\n" );
document.write( "\n" );
document.write( "1st triangle-CAB CA=4; CB=4; AB=5/angles A and B are congruent.<BR>\n" );
document.write( "2nd triangle-PRQ PR=8; RQ not listed; QP=10<BR>\n" );
document.write( "3rd triangle-XYZ XZ=8; XY not listed; ZX=8<BR>\n" );
document.write( "On triangles PRQ and XYZ, angles Z and P are congruent.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138464 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "\n" );
document.write( "If you have two triangles that have 2 congruent angles, then the third angles must be congruent because the angles of a triangle always sum to 180.  If you have three congruent angles, then the sides must be related with a common constant of proportionality and therefore are at least similar (congruent if the constant of proportionality is 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large e^{i \pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );