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As shown in the diagram, NM is the median of trapezoid ABCD and PQ is the median of trapezoid ABMN. We know AB = 5 and DC = 19. Find PQ.

 

 May 18, 2021
 #1
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PQ = 26/7.

 May 18, 2021
 #2
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NM  = (1/2)   ( DC + AB)   = (1/2) (  5 + 19)  = (1/2) (24)  =  12

 

PQ  = (1/2)  ( NM + AB)   =  (1/2)  ( 12  + 5) =  (1/2) (17)   =  17 / 2   =   8.5

 

 

cool cool cool

 May 18, 2021

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