document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110076>Question 110076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments whose lengths are in the ratio 3:2. The length of the altitude is 18 feet.<BR>\n" );
document.write( "Find:<BR>\n" );
document.write( "a.)the length of the hypotenuse in simplest radical form.<BR>\n" );
document.write( "b.)the length of the hypotenuse to the nearest inch.<BR>\n" );
document.write( "c.)the length of each leg of the triangle in simplest radical form.<BR>\n" );
document.write( "d.)the length of each leg of the triangle to the nearest inch. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80233 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse is the base of the triangle.<BR>\n" );
document.write( "the altitude divides the 90 deg angle 3:2 also 54:36 deg.<BR>\n" );
document.write( "tan(36)=x/18<BR>\n" );
document.write( "x=18tan(36)=13.0778'<BR>\n" );
document.write( "x=18tan(54)=24.7749'<BR>\n" );
document.write( "hyp=13.0778+24.7749=37.8526'=37'10\"<BR>\n" );
document.write( "short side: 18^2+13.0778^2=495.028<BR>\n" );
document.write( "sqrt(495.028)=22.2492'=22'3\"<BR>\n" );
document.write( "long side: 18^2+24.7749^2=937.794<BR>\n" );
document.write( "sqrt(937.794)=30.6234'=30'7\"<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "22.2492^2+30.6234^2=1432.82<BR>\n" );
document.write( "sqrt(1432.82)=37.8526' hyp<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );