document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030628>Question 1030628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to solve: Given the area of a rhombus is 24 cm2 and <BR>\n" );
document.write( "its perimeter is 20 cm., what is its height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645463 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this.<BR>\n" );
document.write( "Area of rhombus is the half the product of the diagonals.<BR>\n" );
document.write( "The sides are 5 cm, and each of those is a hypotenuse of the triangles made by the diagonals.<BR>\n" );
document.write( "The sides of a right triangle with hypotenuse 5 are 3 and 4.<BR>\n" );
document.write( "One diagonal is therefore 6 cm and the other 8 cm.  Half their product is 24 cm^2.<BR>\n" );
document.write( "The area is bh=24 cm^2<BR>\n" );
document.write( "The base is 5 cm, so the height is 4.8 cm.<BR>\n" );
document.write( "The area is also a^2*sin A, and the half angle for a corner is tangent (3/4).  Double that angle, take the sine of it, and multiply by 25, and the answer is 24. </SPAN>\n" );
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