Question 1193155
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Draw perpendiculars ZD and YE.<br>
Since the trapezoid is isosceles, DE=4 and WX=20 means WD and EX are each 8.<br>
Then the height of the trapezoid is the other leg of a right triangle with one leg 8 and hypotenuse 10.<br>
I leave it to you to do the easy calculations to find the answer.<br>
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added to response after message from student that he still needed help....<br>
{{{drawing(400,200,-4,24,-2,10
,line(0,0,20,0),line(20,0,12,6),line(12,6,8,6),line(8,6,0,0),line(8,6,8,0),line(12,6,12,0)
,locate(0,0,W),locate(8,0,D),locate(12,0,E),locate(20,0,X),locate(12,7,Y),locate(8,7,Z)
,locate(10,7,4),locate(3,4,10),locate(9.5,-.5,20)
)}}}<br>
Because YZ=4, DE=4 also.<br>
And because the trapezoid is isosceles, WD and EX are the same length.<br>
Then, since DE=4, WX=20, and WD=EX, WD and EX are each 8.<br>
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.<br>
Use the Pythagorean Theorem to find the height.<br>