Question 1193155: In isosceles trapezoid WXYZ with bases
ZY and WX,ZY = 4, YX = 10, and WX = 20.
Find height h (the length of ZD or YE)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Draw perpendiculars ZD and YE.
Since the trapezoid is isosceles, DE=4 and WX=20 means WD and EX are each 8.
Then the height of the trapezoid is the other leg of a right triangle with one leg 8 and hypotenuse 10.
I leave it to you to do the easy calculations to find the answer.
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added to response after message from student that he still needed help....
Because YZ=4, DE=4 also.
And because the trapezoid is isosceles, WD and EX are the same length.
Then, since DE=4, WX=20, and WD=EX, WD and EX are each 8.
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.
Use the Pythagorean Theorem to find the height.
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