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