document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95565>Question 95565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rhombus has sides of length 7 cm. One of its diagonals is 10 cm long. Find the lengths of the other diagonal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69718 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rhombus has sides of length 7 cm. One of its diagonals is 10 cm long. Find the lengths of the other diagonal.<BR>\n" );
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document.write( "We know that the two diagonals bisect each other at right angles.<BR>\n" );
document.write( "This forms a right triangle with a side of 5 cm and hypotenuse of 7 cm<BR>\n" );
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document.write( "1. Find one of the angles(A) of the right triangle using the cosine; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. Then find the 3rd side using the sine of this same angle.<BR>\n" );
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document.write( "3. Double the value of that side and you have the length of the other diagonal.<BR>\n" );
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document.write( "Cosine(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 44.415 degrees<BR>\n" );
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document.write( "Sin(44.4153) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F7 ALIGN=MIDDLE  ALT=\"a%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".69985 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F7 ALIGN=MIDDLE  ALT=\"a%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 7 * .69985<BR>\n" );
document.write( "a = 4.899 * 2 = 9.8 cm is the length of the other diagonal<BR>\n" );
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document.write( "Did this make sense to you?\r<BR>\n" );
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