document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785524>Question 785524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> express the hypotenuse h of a right triangle with area 25m^ as a function of its perimeter p (take base and height as a and b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477776 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=477776\">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=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of one leg, in meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the other leg, in meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= hypotenus of the triangle, in meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%2F2=25 ALIGN=MIDDLE  ALT=\"ab%2F2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >= area of the triangle, in square meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=a%2Bb%2Bh ALIGN=MIDDLE  ALT=\"p=a%2Bb%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >= perimeter of the triangle, in square meters<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%2F2=25 ALIGN=MIDDLE  ALT=\"ab%2F2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=25%2A2 ALIGN=MIDDLE  ALT=\"ab=25%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=50 ALIGN=MIDDLE  ALT=\"ab=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=a%2Bb%2Bh ALIGN=MIDDLE  ALT=\"p=a%2Bb%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-h=a%2Bb ALIGN=MIDDLE  ALT=\"p-h=a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "According to the Pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"h%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=%28a%2Bb%2Bh%29%5E2=a%5E2%2Bb%5E2%2Bh%5E2%2B2ab%2B2ah%2B2bh ALIGN=MIDDLE  ALT=\"p%5E2=%28a%2Bb%2Bh%29%5E2=a%5E2%2Bb%5E2%2Bh%5E2%2B2ab%2B2ah%2B2bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-h%5E2=h%5E2%2B2ab%2B2ah%2B2bh ALIGN=MIDDLE  ALT=\"p%5E2-h%5E2=h%5E2%2B2ab%2B2ah%2B2bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-h%5E2=h%5E2%2B2%2A50%2B2ah%2B2bh ALIGN=MIDDLE  ALT=\"p%5E2-h%5E2=h%5E2%2B2%2A50%2B2ah%2B2bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > (substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=50 ALIGN=MIDDLE  ALT=\"ab=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=2h%5E2%2B100%2B2ah%2B2bh ALIGN=MIDDLE  ALT=\"p%5E2=2h%5E2%2B100%2B2ah%2B2bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=2h%5E2%2B100%2B2h%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"p%5E2=2h%5E2%2B100%2B2h%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=2h%5E2%2B100%2B2h%28p-h%29 ALIGN=MIDDLE  ALT=\"p%5E2=2h%5E2%2B100%2B2h%28p-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-h=a%2Bb ALIGN=MIDDLE  ALT=\"p-h=a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=2h%5E2%2B100%2B2hp-2h%5E2 ALIGN=MIDDLE  ALT=\"p%5E2=2h%5E2%2B100%2B2hp-2h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=100%2B2hp ALIGN=MIDDLE  ALT=\"p%5E2=100%2B2hp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-100=2hp ALIGN=MIDDLE  ALT=\"p%5E2-100=2hp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=%28p%5E2-100%29%2F2p%29 ALIGN=MIDDLE  ALT=\"highlight%28h=%28p%5E2-100%29%2F2p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or something equivalent, like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=p%2F2-50%2Fp%29 ALIGN=MIDDLE  ALT=\"highlight%28h=p%2F2-50%2Fp%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=%28p%2B10%29%28p-10%29%2F2p%29 ALIGN=MIDDLE  ALT=\"highlight%28h=%28p%2B10%29%28p-10%29%2F2p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "EXTRA:<BR>\n" );
document.write( "A more general expression, bases on perimeter and area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=%28p%5E2-4A%29%2F2p%29 ALIGN=MIDDLE  ALT=\"highlight%28h=%28p%5E2-4A%29%2F2p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );