document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954683>Question 954683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word Problem of Pythagoras' Theorem;\r<BR>\n" );
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document.write( "Question: PQRS is a rectangle in which PQ = 9 cm and PS = 6 cm. T is a point on PQ such that PT = 7 cm and RV is the perpendicular from R to ST. Calculate ST and RV.\r<BR>\n" );
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document.write( "Please solve this, it's gonna come in exam and it carries 10 marks itself. I tried so hard to solve it but I couldn't. I'd really appreciate it if you guys could solve this! Thanks a lot.\r<BR>\n" );
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document.write( "Regards,<BR>\n" );
document.write( "Saad Ali<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583138 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583138\">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%2C300%2C-2%2C10%2C-2%2C10%2Cgrid%281%29%2C%0D%0Acircle%280%2C0%2C0.25%29%2C%0D%0Acircle%289%2C0%2C0.25%29%2C%0D%0Acircle%287%2C0%2C0.25%29%2C%0D%0Acircle%289%2C6%2C0.25%29%2C%0D%0Acircle%280%2C6%2C0.25%29%2C%0D%0Acircle%285.9%2C0.9%2C0.25%29%2C%0D%0Aline%280%2C0%2C9%2C0%29%2C%0D%0Aline%289%2C0%2C9%2C6%29%2C%0D%0Aline%289%2C6%2C0%2C6%29%2C%0D%0Aline%280%2C6%2C0%2C0%29%2C%0D%0Aline%280%2C6%2C7%2C0%29%2C%0D%0Aline%289%2C6%2C5.9%2C.9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You know that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PT%5E2%2BPS%5E2=ST%5E2 ALIGN=MIDDLE  ALT=\"PT%5E2%2BPS%5E2=ST%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2%2B6%5E2=ST%5E2 ALIGN=MIDDLE  ALT=\"7%5E2%2B6%5E2=ST%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ST%5E2=49%2B36 ALIGN=MIDDLE  ALT=\"ST%5E2=49%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ST%5E2=85 ALIGN=MIDDLE  ALT=\"ST%5E2=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ST=sqrt%2885%29 ALIGN=MIDDLE  ALT=\"ST=sqrt%2885%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the line that goes through points T and S.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%280-6%29%2F%287-0%29=-6%2F7 ALIGN=MIDDLE  ALT=\"m=%280-6%29%2F%287-0%29=-6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-0=-%286%2F7%29%28x-7%29 ALIGN=MIDDLE  ALT=\"y-0=-%286%2F7%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5BST%5D=-%286%2F7%29x%2B6 ALIGN=MIDDLE  ALT=\"y%5BST%5D=-%286%2F7%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The perpendicular line would have a slope that is the negative reciprocal,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D=7%2F6 ALIGN=MIDDLE  ALT=\"m%5Bp%5D=7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the perpendicular line through R would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-6=%287%2F6%29%28x-9%29 ALIGN=MIDDLE  ALT=\"y-6=%287%2F6%29%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-6=%287%2F6%29x-21%2F2 ALIGN=MIDDLE  ALT=\"y-6=%287%2F6%29x-21%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%287%2F6%29x-21%2F2%2B12%2F2 ALIGN=MIDDLE  ALT=\"y=%287%2F6%29x-21%2F2%2B12%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bperp%5D=%287%2F6%29x-9%2F2 ALIGN=MIDDLE  ALT=\"y%5Bperp%5D=%287%2F6%29x-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the point of intersection (V) using these two lines,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%286%2F7%29x%2B6=%287%2F6%29x-9%2F2 ALIGN=MIDDLE  ALT=\"-%286%2F7%29x%2B6=%287%2F6%29x-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%286%2F7%2B7%2F6%29x=-9%2F2-12%2F2 ALIGN=MIDDLE  ALT=\"-%286%2F7%2B7%2F6%29x=-9%2F2-12%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2885%2F42%29x=-21%2F2 ALIGN=MIDDLE  ALT=\"-%2885%2F42%29x=-21%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=441%2F85 ALIGN=MIDDLE  ALT=\"x=441%2F85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1029%2F170-765%2F170 ALIGN=MIDDLE  ALT=\"y=1029%2F170-765%2F170\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=264%2F170 ALIGN=MIDDLE  ALT=\"y=264%2F170\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=132%2F85 ALIGN=MIDDLE  ALT=\"y=132%2F85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have V use the distance formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D%5E2=%289-441%2F85%29%5E2%2B%286-132%2F85%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BRV%5D%5E2=%289-441%2F85%29%5E2%2B%286-132%2F85%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D%5E2=%28324%2F85%29%5E2%2B%28378%2F85%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BRV%5D%5E2=%28324%2F85%29%5E2%2B%28378%2F85%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D%5E2=%28104976%2B142884%29%2F%2885%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BRV%5D%5E2=%28104976%2B142884%29%2F%2885%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D%5E2=%28247860%29%2F%2885%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BRV%5D%5E2=%28247860%29%2F%2885%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D%5E2=%282916%29%2F%2885%29 ALIGN=MIDDLE  ALT=\"D%5BRV%5D%5E2=%282916%29%2F%2885%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D=sqrt%282916%2F85%29 ALIGN=MIDDLE  ALT=\"D%5BRV%5D=sqrt%282916%2F85%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BRV%5D=%2854%2F85%29sqrt%2885%29 ALIGN=MIDDLE  ALT=\"D%5BRV%5D=%2854%2F85%29sqrt%2885%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );