document.write( "Question 1083257: A designer of decorative tiles wants to have some custom tiles made in the shape of a rhombus, with one diagonal twice the length of the other. If each side of a tile is to be 12 inches long, what will be the length of its shorter diagonal, to the nearest hundredth of an inch?\r
\n" ); document.write( "\n" ); document.write( "Select one:
\n" ); document.write( "a. 8.00 in
\n" ); document.write( "b. 10.73 in
\n" ); document.write( "c. 5.37 in
\n" ); document.write( "d. 21.47 in
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Algebra.Com's Answer #697287 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"d%5B1%5D=2d%5B2%5D\" where \"d%5B2%5D\" is shorter diagonal\r
\n" ); document.write( "\n" ); document.write( "\"a=12in\"\r
\n" ); document.write( "\n" ); document.write( "side, and half of each diagonal form right triangle, so use Pythagorean theorem\r
\n" ); document.write( "\n" ); document.write( "\"12%5E2=%28d%5B1%5D%2F2%29%5E2%2B%28d%5B2%5D%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"144=%282d%5B2%5D%2F2%29%5E2%2B%28d%5B2%5D%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"144=%28d%5B2%5D%29%5E2%2B%28d%5B2%5D%29%5E2%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"144=%285%2F4%29%28d%5B2%5D%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"144%2F%285%2F4%29=%28d%5B2%5D%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"115.2=%28d%5B2%5D%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B2%5D=sqrt%28115.2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B2%5D=10.73\"\r
\n" ); document.write( "\n" ); document.write( "answer is: b. \"10.73in\"\r
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