document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597319>Question 597319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will you please help me find the altitude on an acute scalene triangle?  The problem is I have been given only the AREA(90 square feet) and the hypotenuse(18 feet).  Am I correct in making the assumption the missing part is the base and without its amount of feet an impossible equation to solve with a formula?  Thank you for your time and expertise. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378172 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is I have been given only the AREA(90 square feet) and the hypotenuse(18 feet). <BR>\n" );
document.write( ":<BR>\n" );
document.write( "The fact that they give you the hypotenuse, means it is a right triangle, so we can call one side the altitude (a) and the other side the base (b)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We know is the two sides are different because it is a scalene triangle, using pythag<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18<BR>\n" );
document.write( "and the area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >b*a = 90<BR>\n" );
document.write( "mult both sides by 2<BR>\n" );
document.write( "a * b = 180<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2Fa ALIGN=MIDDLE  ALT=\"180%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2+%2B+%28180%2Fa%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2+%2B+%28180%2Fa%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "a^2 + (180/a)^2 = 324<BR>\n" );
document.write( "a^2 + (180/a)^2 - 324 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Plot this equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-20%2C+20%2C+-100%2C+500%2C+x%5E2%2B%28180%2Fx%29%5E2-324%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-20%2C+20%2C+-100%2C+500%2C+x%5E2%2B%28180%2Fx%29%5E2-324%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I don't think there is a solution, no x (a) intercept </SPAN>\n" );
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