document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065916>Question 1065916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the &#9651;PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.\r<BR>\n" );
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document.write( "QR can be (x) in or (y) in.\r<BR>\n" );
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document.write( "Find: x and y  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681085 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=681085\">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%28430%2C360%2C-9%2C37%2C-19%2C17%2C%0D%0Agreen%28triangle%280%2C1%2C0%2C16%2C-8%2C1%29%29%2C%0D%0Agreen%28triangle%280%2C-17%2C0%2C-2%2C8%2C-17%29%29%2C%0D%0Agreen%28rectangle%280%2C1%2C1%2C2%29%29%2C%0D%0Agreen%28rectangle%280%2C-17%2C1%2C-16%29%29%2C%0D%0Aline%28-8%2C1%2C36%2C1%29%2Cline%2836%2C1%2C0%2C16%29%2C%0D%0Aline%28-8%2C1%2C0%2C16%29%2Cline%288%2C-17%2C0%2C-2%29%2C%0D%0Aline%288%2C-17%2C36%2C-17%29%2Cline%2836%2C-17%2C0%2C-2%29%2C%0D%0Alocate%28-0.5%2C1%2Cgreen%28N%29%29%2Clocate%28-0.5%2C-17%2Cgreen%28N%29%29%2C%0D%0Alocate%280.8%2C17%2CP%29%2Clocate%280.5%2C-0.5%2CP%29%2Clocate%28-8%2C-6%2COR%29%2C%0D%0Alocate%28-8.5%2C1%2CR%29%2Clocate%287.5%2C-17%2CR%29%2C%0D%0Alocate%2835.5%2C1%2CQ%29%2Clocate%2835.5%2C-17%2CQ%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > , or some mirror images.<BR>\n" );
document.write( "Applying the Pythagorean theorem to right triangles PNQ and PNR, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PN%5E2%2BNR%5E2=PR%5E2 ALIGN=MIDDLE  ALT=\"PN%5E2%2BNR%5E2=PR%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PN%5E2%2BNQ%5E2=PQ%5E2 ALIGN=MIDDLE  ALT=\"PN%5E2%2BNQ%5E2=PQ%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Substituting the known lengths<BR>\n" );
document.write( "(I will not write units, but we know all the lengths were measured in inches),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2%2BNR%5E2=17%5E2 ALIGN=MIDDLE  ALT=\"15%5E2%2BNR%5E2=17%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225%2BNR%5E2=289 ALIGN=MIDDLE  ALT=\"225%2BNR%5E2=289\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NR%5E2=289-225 ALIGN=MIDDLE  ALT=\"NR%5E2=289-225\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NR%5E2=64 ALIGN=MIDDLE  ALT=\"NR%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NR=8 ALIGN=MIDDLE  ALT=\"NR=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2%2BNQ%5E2=39%5E2 ALIGN=MIDDLE  ALT=\"15%5E2%2BNQ%5E2=39%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225%2BNQ%5E2=1521 ALIGN=MIDDLE  ALT=\"225%2BNQ%5E2=1521\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NQ%5E2=1521-225 ALIGN=MIDDLE  ALT=\"NQ%5E2=1521-225\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NQ%5E2=1296 ALIGN=MIDDLE  ALT=\"NQ%5E2=1296\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NQ=36 ALIGN=MIDDLE  ALT=\"NQ=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So depending on which of the two drawings represents triangle PQR,<BR>\n" );
document.write( "either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=QR=NQ%2BNR=36in%2B8in=highlight%2844in%29 ALIGN=MIDDLE  ALT=\"QR=NQ%2BNR=36in%2B8in=highlight%2844in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=QR=NQ-NR=36in-8in=highlight%2828in%29 ALIGN=MIDDLE  ALT=\"QR=NQ-NR=36in-8in=highlight%2828in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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