document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127913>Question 1127913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the diagonals of the rhombus are a and a times root 3. What are the measures of the angles of this rhombus?\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 #744409 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=744409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In a rhombus, the diagonals are perpendicular and bisect each other.  That divides the rhombus into four congruent right triangles.<br><BR>\n" );
document.write( "In each of the triangles, the legs are half the lengths of the diagonal; in this problem the legs are a/2 and (a*sqrt(3))/2.  Since the ratio of the lengths of the legs is 1:sqrt(3), the triangles are 30-60-90 right triangles.<br><BR>\n" );
document.write( "And that makes the angles of the rhombus 60 and 120 degrees. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );