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 = 16. Determine FH.


SmartMathMan  Dec 5, 2017
edited by Guest  Dec 5, 2017


Since DC  can be considered as one base of parallelogram   ABCD  and  EG is the height drawn to this base.....the area  is  DC * EG =  27 * 16  = 432 units^2


But BC  can be considered as another base  and  FH  is a height drawn to this base....and since the area is constant......we have that


432  = BC * FH     but   AD  = BC  = 18  ....so....


432  = 18 * FH      divide both sides by 18


24  = FH



cool cool cool

CPhill  Dec 5, 2017

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