document.write( "Question 1193155: In isosceles trapezoid WXYZ with bases
\n" ); document.write( "ZY and WX,ZY = 4, YX = 10, and WX = 20.
\n" ); document.write( "Find height h (the length of ZD or YE)
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Algebra.Com's Answer #825157 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Draw perpendiculars ZD and YE.

\n" ); document.write( "Since the trapezoid is isosceles, DE=4 and WX=20 means WD and EX are each 8.

\n" ); document.write( "Then the height of the trapezoid is the other leg of a right triangle with one leg 8 and hypotenuse 10.

\n" ); document.write( "I leave it to you to do the easy calculations to find the answer.

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\n" ); document.write( "added to response after message from student that he still needed help....

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\n" ); document.write( "Because YZ=4, DE=4 also.

\n" ); document.write( "And because the trapezoid is isosceles, WD and EX are the same length.

\n" ); document.write( "Then, since DE=4, WX=20, and WD=EX, WD and EX are each 8.

\n" ); document.write( "The problem is asking for the height, which is ZD; ZD is one leg of a right triangle with hypotenuse 10 and other leg 8.

\n" ); document.write( "Use the Pythagorean Theorem to find the height.

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