document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107481>Question 1107481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) The perimeters of two similar triangles are 110 and 65. If the altitude of the smaller triangle is 5, how long is the corresponding altitude of the other triangle?\r<BR>\n" );
document.write( "\n" );
document.write( "b) One of two similar triangles has an area 1/4 times that of the other. What is the ratio of the perimeters of the triangle?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801773 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "a) perimeter and altitude are both linear measurements, so the ratio of the altitudes is the same as the ratio of the perimeters.<br><BR>\n" );
document.write( "The ratio of similarity is 110:65 = 22:13; the altitude of the larger triangle is 5*(22/13) = 110/13.<br><BR>\n" );
document.write( "ANSWER: 110/13<br><BR>\n" );
document.write( "b) Area is a measurement in two dimensions; perimeter is a measurement in one dimension.  For ANY two similar figures, if the ratio of linear measurements is a:b then the ratio of corresponding area measurements is a^2:b^2.<br><BR>\n" );
document.write( "Given that the ratio of areas of two similar triangles is 1:4, we know that the ratio of any linear measurements between the two figures is 1:2.<br><BR>\n" );
document.write( "ANSWER: 1:2<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );