document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196783>Question 1196783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sides of a parallelogram ABCD are AB= 424mm and AD= 348mm<BR>\n" );
document.write( "If angle ABC is 130°\r<BR>\n" );
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document.write( "a. Find the lengths of long and short diagonals.<BR>\n" );
document.write( "b. Find the area of and perimeter of a parallelogram </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829776 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i was able to solve this using the law of cosines.<BR>\n" );
document.write( "that law says:<BR>\n" );
document.write( "c^2 = a^2 + b^2 - 2*a*b*cos(C)<BR>\n" );
document.write( "what i got was:<BR>\n" );
document.write( "long diagonal = 700.4064496911<BR>\n" );
document.write( "short diagonal = 333.4528530858<BR>\n" );
document.write( "i verified using an online parallelogram calculator found at <a  rel=nofollow HREF= \"https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php\" target = \"_blank\">https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php</a><BR>\n" );
document.write( "it did not solve it directly, so i used one of my answer for the long diagonal to have it solve for the other properties of the parallelogram and they checked out.<BR>\n" );
document.write( "here's what the calculator showed me after i gave it the two side length that were given as part of the problem and the long diagonal that i calculated using the law of cosines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100103.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100102.jpg\"><BR>\n" );
document.write( "i'll be available to answer any questions you have about this.\r<BR>\n" );
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