In a trapezium PQRS, PQ || SR, PQSR. X and Y are the midpoints of SP and QR respectively. If XY = 7.5 and PQ = 12, then find RS.

Here is the answer for your question:

Consider the following figure

Given PQ|| SR,

 

Capture.JPG 

Where  PQ = 12units, XR = 7.5units, SR= ?

Using the formula:

XY = (PQ+SR)/2

7.5 = (12+SR)/2

SR = 3 units

   

 

 

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As we know that length of a line joining the mid-pointsof two non - parallel sides of a trapezium is equal to half sum of its parallel sides ,

XY=1/2(PQ+SR)

7.5=1/2(12+SR)

15=12+SR

SR=15-12= 3 units

  • 2
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