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As shown in the diagram, PQ is the median of trapezoid ABCD where AB = 25 inches and CD = 32 inches. Find XY in inches.

 

 Mar 3, 2021
 #1
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XY = 11/2.

 Mar 3, 2021
 #2
avatar+34395 
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Please explain how you got that answer........laugh

ElectricPavlov  Mar 3, 2021
 #3
avatar+1487 
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As shown in the diagram, PQ is the median of trapezoid ABCD where AB = 25 inches and CD = 32 inches. Find XY in inches.

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I find CPhill's method to be very clever, so I'll use and simplify this method even more.

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AB = 25          CD = 38                  

 

MN = 63        MO = 25         MR = 31.5        NO = 38        OR = 6.5        AM = 12.5

 

Important: Triangles ABO and OXY are similar.

 

Eureka!   If AB = MO then XY = OR

 

XY = 6.5 inches          

 

 Mar 4, 2021
edited by jugoslav  Mar 4, 2021
edited by jugoslav  Mar 4, 2021
edited by jugoslav  Mar 4, 2021
 #4
avatar+1487 
+3

Since I cannot edit my post,angry I have to repost it.

Someone's playing games with me;laugh the base CD was 38 and now is 32. 

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AB = 25       CD = 32

 

MN = 57        MO = 25          MR = 28.5            OR = 3.5 

 

XY = OR = 3.5     

jugoslav  Mar 4, 2021
edited by jugoslav  Mar 4, 2021
edited by jugoslav  Mar 4, 2021

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