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# help geometry

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In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG (which is a repeating decimal) and FH  (which is a repeating decimal) are perpendicular to sides of the parallelogram as shown, and EG = 40. Determine FH. Jan 8, 2022

#1
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The area of the parallelogram is the base times the height.

If you consider the base to be CD and the height to be GE, the area = 27 x 40 = 1080.

However, you could consider the base to be AD and the height to be FH (it will have the same area).

1080  =  18 x FH     --->     FH  =  60

Jan 8, 2022
#2
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Your numbers are wrong!!! EG must be smaller than AD!!!

Jan 8, 2022
#3
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I'm giving this my best shot at it(tel me if i am wrong) Also befor i start. The problem said"Segments EG (which is a repeating decimal)" and "EG = 40"

40 is not a repeating decimal.

EG=40

DC=27

40*27=1080

1080/18 = 60

FH=60

Just like geno3141!

And guest, in geno3141's answer, EG is smaller than AD

I believe the question has some error it says EG=40 and AD=18

AD is a hypotenuse of EG so....

Jan 9, 2022