document.write( "Question 1181240: The diagonals of right trapezoid are perpendicular.
\n" ); document.write( "What is the area of the trapezoid if the parallel bases
\n" ); document.write( "measure 8cm and 18cm?
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Algebra.Com's Answer #811169 by greenestamps(13203)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "A very fancy solution indeed from the other tutor....

\n" ); document.write( "But that solution method makes a \"first class\" geometry problem out of a relatively simple algebraic one.

\n" ); document.write( "Draw a sketch with the vertical edge of the right trapezoid at the left and the longer base at the bottom; let h be the height of the trapezoid.

\n" ); document.write( "Then the slope of the shorter diagonal is x/8, and the slope of the longer diagonal is -x/18.

\n" ); document.write( "The diagonals are perpendicular, so

\n" ); document.write( "\"%28x%2F8%29%28-x%2F18%29=-1\"
\n" ); document.write( "\"-x%5E2%2F144=-1\"
\n" ); document.write( "\"x%5E2=144\"
\n" ); document.write( "\"x+=+12\"

\n" ); document.write( "The height of the trapezoid is 12; its area is

\n" ); document.write( "\"12%28%288%2B18%29%2F2%29=12%2813%29=156\"

\n" ); document.write( "ANSWER: 156

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