document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202263>Question 1202263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to side PR. If PQ = 9, QR = 10, and PR = 17, then compute the length of XY. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836963 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Use Heron's formula to find the area of triangle PQR.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%2818%2A1%2A9%2A8%29=36 ALIGN=MIDDLE  ALT=\"A=sqrt%2818%2A1%2A9%2A8%29=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Use the angle bisector theorem to show that the area of triangle PXR is 17/(17+9) = 17/26 the area of triangle PQR.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=36%2817%2F26%29 ALIGN=MIDDLE  ALT=\"A=36%2817%2F26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) Find x, the length of XY, using the area of triangle PXR with side PR as the base.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2817%2F26%29=%281%2F2%29%2817%29%28x%29 ALIGN=MIDDLE  ALT=\"36%2817%2F26%29=%281%2F2%29%2817%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2836%2A17%2F26%29%2F%28%281%2F2%2917%29=%2836%2F26%29%2F%281%2F2%29=36%2F13 ALIGN=MIDDLE  ALT=\"x=%2836%2A17%2F26%29%2F%28%281%2F2%2917%29=%2836%2F26%29%2F%281%2F2%29=36%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 36/13<br><BR>\n" );
document.write( " </SPAN>\n" );
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