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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.

 

 Oct 18, 2020
 #1
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If you visualize moving EG left so that G coincides with D,  

you have a right triangle, such that:  

 

•  AE is one leg,

•  EG (aka ED) is the other leg, and

•  AD is the hypotenuse. 

 

It is given that AD = 18 and EG = 40.  This cannot be true. 

 

One leg of a right triangle cannot be larger than the hypotenuse.  

 

Also, EG would not be considered a segment.  There's something wrong in the problem. 

 
 Oct 18, 2020
 #2
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EG ≠ 40  cheeky

 
 Oct 19, 2020
 #3
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Of course it isn't 40.  Or if it is, one or more of the other values is incorrect.  

That's why I said that there was something wrong in the problem as stated. 

  

 
Guest Oct 19, 2020

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