document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464258>Question 464258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the range for the measure of the third side of a triangle if the measures of the two sides are 23 meters & 39 meters. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318015 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=318015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By the triangle inequality, the third side length must be between 16 m and 62 m (39-23 and 39+23). To visualize it, fix the side of length 39, and draw a circle of radius 23 with center at one of the endpoints:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-45%2C25%2C-35%2C35%2C%0D%0A%0D%0A%0D%0Aline%28-39%2C0%2C0%2C0%29%2C%0D%0Acircle%280%2C0%2C23%29%2C%0D%0Aline%280%2C0%2C23%2C0%29%2C%0D%0Alocate%2823%2F2%2C0%2C+23%29%2C%0D%0Alocate%28-23%2F2%2C0%2C23%29%2C%0D%0Alocate%28-31%2C0%2C16%29%2C%0D%0Ared%28line%280%2C0%2Csqrt%2837%29%2Csqrt%28492%29%29%29%2C%0D%0Agreen%28line%28-39%2C0%2Csqrt%2837%29%2Csqrt%28492%29%29%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We see that the minimum length of the green segment is 16, and the maximum length is (16+23) + 23 = 62. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );