document.write( "Question 1143435: The diagonals of a parallelogram ABCD are perpendicular. If one diagonal has a length of 6 and the other diagonal has a length of 8, what is the perimeter of the parallelogram? \n" ); document.write( "
Algebra.Com's Answer #764240 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In this case, the diagonals divide the rhombus in four congruent right-angled triangles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For each such a triangle, the legs are 6/2 = 3 units and 8/2 = 4 units;\r\n" );
document.write( "\r\n" );
document.write( "hence, the sides of the rhombus are  \"sqrt%283%5E2+%2B+4%5E2%29\" = 5 units long, and its perimeter is 5*4 = 20 units.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On relevant properties of rhombuses, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus are perpendicular\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus bisect its angles\r
\n" ); document.write( "\n" ); document.write( "    - The length of diagonals of a rhombus\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on the rhombus sides and diagonals measures - Examples \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Properties of rhombis\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in GEOMETRY
\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );