document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755861>Question 755861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So I have a rectangle RSTU, and RU is 5 while UT is 12 and there are 2 lines intersecting in the middle of the rectangle in an x form. with P as the middle. I need to figure out what RP is, and I know then answer is either 13, 8.5 or 6.5, but I don't know how to solve this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459880 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=459880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C150%2C-1%2C13%2C-1%2C6%2C%0D%0Arectangle%280%2C0%2C12%2C5%29%2Crectangle%280%2C0%2C0.5%2C0.5%29%2C%0D%0Arectangle%280%2C4.5%2C0.5%2C5%29%2Crectangle%2812%2C4.5%2C11.5%2C5%29%2C%0D%0Arectangle%2812%2C0%2C11.5%2C0.5%29%2Clocate%28-0.2%2C5.7%2CR%29%2C%0D%0Alocate%2812%2C5.7%2CS%29%2Clocate%2812%2C-0.1%2CT%29%2Clocate%28-0.2%2C-0.1%2CU%29%2C%0D%0Agreen%28line%280%2C0%2C12%2C5%29%29%2Cgreen%28line%280%2C5%2C12%2C0%29%29%2C%0D%0Alocate%285.8%2C2.3%2CP%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Lines RT and SU are the diagonals of the rectangle.<BR>\n" );
document.write( "Each diagonal divides the rectangle into two congruent right triangles.<BR>\n" );
document.write( "The lengths of the legs of those right triangles are 5 and 12.<BR>\n" );
document.write( "According to the Pythagorean theorem, the lengths of the hypotenuses of each triangle (the diagonals) are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RT=SU=sqrt%285%5E2%2B12%5E2%29=sqrt%2825%2B144%29=sqrt%28189%29=13 ALIGN=MIDDLE  ALT=\"RT=SU=sqrt%285%5E2%2B12%5E2%29=sqrt%2825%2B144%29=sqrt%28189%29=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RT=SU=13 ALIGN=MIDDLE  ALT=\"RT=SU=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The diagonals of a rectangle (or any other parallelogram) bisect each other><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RP=PT=%281%2F2%29RT ALIGN=MIDDLE  ALT=\"RP=PT=%281%2F2%29RT\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RP=%281%2F2%2913 ALIGN=MIDDLE  ALT=\"RP=%281%2F2%2913\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28RP=6.5%29 ALIGN=MIDDLE  ALT=\"highlight%28RP=6.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );