document.write( "Question 1019495: Two side of a parallelogram are 694 feet and 418 feet
\n" ); document.write( "respectively, one diagonal is 602 feet. Find the length
\n" ); document.write( "of the other diagonal.
\n" ); document.write( "

Algebra.Com's Answer #635466 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Two side of a parallelogram are 694 feet and 418 feet
\n" ); document.write( "respectively, one diagonal is 602 feet. Find the length
\n" ); document.write( "of the other diagonal.
\n" ); document.write( "-----------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You can get the solution quickly, if you apply this property of a parallelogram diagonals:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "      Let  a,  b,  c and  d be the lengths of the sides of a parallelogram and  \"d%5B1%5D\"  and  \"d%5B2%5D\"  be the lengths of its diagonals.
\n" ); document.write( "      Then     \"d%5B1%5D%5E2+%2B+d%5B2%5D%5E2\" = \"a%5E2%2Bb%5E2%2Bc%5E2%2Bd%5E2%29%2F2\" = \"2a%5E2+%2B+2b%5E2\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is proved in the lesson  The length of diagonals of a parallelogram  in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "When you substitute your data,  you will have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%2A694%5E2+%2B+418%5E2%29\" = \"602%5E2+%2B+d%5B2%5D%5E2\",\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then you get   \"d%5B2%5D%5E2\" = \"2%2A%28694%5E2+%2B+418%5E2%29+-+602%5E2\" = 950316  and   \"d%5B2%5D\" = \"sqrt%28950316%29\" = 974.8415 ft.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );