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In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 18. Determine FH.

 

 Apr 2, 2021

Best Answer 

 #2
avatar+1203 
+4

In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 16. Determine FH.

 

AD ≠ EG cheeky

 

FH = (27 * 16) / 18

 

FH = 24

 Apr 2, 2021
 #1
avatar+118470 
+1

Area  of parallelogram  =  EG * DC  =  18 * 27   =  486

 

Also

 

Area of  parallelogram  =   AD * FH 

 

So

 

18 * FH  =  486

 

FH  =  486  / 18    =   27  

 

 

cool cool cool

 Apr 2, 2021
 #2
avatar+1203 
+4
Best Answer

In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 16. Determine FH.

 

AD ≠ EG cheeky

 

FH = (27 * 16) / 18

 

FH = 24

civonamzuk Apr 2, 2021
 #3
avatar+118470 
0

EG was  given  as  18  in the original problem.....I  thought that  was an error......working this before,  I  now  remember  that  EG  should have been 16 as civomanzuk   used....

 

 

cool cool cool

CPhill  Apr 2, 2021

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