document.write( "Question 1090152: The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm².Find the length of the longer diagonal \n" ); document.write( "

Algebra.Com's Answer #704560 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Sole the two right triangles,
\n" ); document.write( " $\"D%5E2=3%5E2%2BY%5E2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"%282D%29%5E2=3%5E2%2B%287%2BY%29%5E2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "I used a graphical method. Look for the two positive solutions.
\n" ); document.write( " $\"D=6.626\"$
\n" ); document.write( "So the long diagonal would be,
\n" ); document.write( " $\"2D=13.252\"$
\n" ); document.write( " \n" ); document.write( "

\n" );