document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941901>Question 941901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sides of a rhombus are 5 cm each and one diagonal is 8 cm. calculate the length of the other diagonal and the area of the rhombus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574174 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two diagonals divide the rhombus into 4 congruent right triangles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C300%2C-6%2C6%2C-4.5%2C4.5%2C%0D%0Ared%28triangle%28-4%2C0%2C0%2C-3%2C0%2C3%29%29%2C%0D%0Ared%28triangle%284%2C0%2C0%2C-3%2C0%2C3%29%29%2C%0D%0Aline%28-4%2C0%2C4%2C0%29%2Cline%280%2C-3%2C0%2C3%29%2C%0D%0Agreen%28arrow%28-0.5%2C-4%2C-4%2C-4%29%29%2C%0D%0Agreen%28arrow%280.5%2C-4%2C4%2C-4%29%29%2C%0D%0Alocate%28-0.3%2C-3.8%2C8cm%29%2Clocate%280.1%2C-1.2%2Cx%29%2C%0D%0Alocate%281.5%2C0%2C4cm%29%2Clocate%282%2C-1.5%2Cred%285cm%29%29%2C%0D%0Arectangle%280%2C0%2C0.3%2C-0.3%29%2C%0D%0Arectangle%28-4%2C-3%2C4%2C3%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Pythagorean theorem, applied to the triangle with the measures shown, states that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%284cm%29%5E2=%285cm%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%284cm%29%5E2=%285cm%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You can solve for {{x}}} to find that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3cm ALIGN=MIDDLE  ALT=\"x=3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is half of the other diagonal, so the other diagonal measures<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%283cm%29=highlight%286cm%29 ALIGN=MIDDLE  ALT=\"2%2A%283cm%29=highlight%286cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The area of the rhombus is half the area of the large rectangle around it,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286cm%29%2A%288cm%29%2F2=highlight%2824%29 ALIGN=MIDDLE  ALT=\"%286cm%29%2A%288cm%29%2F2=highlight%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );