Quabdrilateral ABCD is a trapezium AB||CD. Point P&Q are the midpoints of side AD & BC respectively .If AB=8cm PQ=12cm then find the length of side CD. 1).8Cm 2).12Cm3).20Cm4).16Cm

Quabdrilateral ABCD is a trapezium AB||CD. Point P&Q are the midpoints

1.	Quabdrilateral ABCD is a trapezium AB\|\|CD. Point P&Q are the midpoints of side AD & BC respectively .If AB=8cm PQ=12cm then find the length of side CD. 1).8Cm 2).12Cm3).20Cm4).16Cm
Answer» Draw diagonal AC. Let AC intersect PQ at X. By midpoint THM,AB = 2QXQX = 4 cmPX + QX = PQPX + 4 = 12 PX = 8 Again, by midpoint thm, 2PX = CD CD = 2 × 8 CD = 16 CM.

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Quabdrilateral ABCD is a trapezium AB||CD. Point P&Q are the midpoints of side AD & BC respectively .If AB=8cm PQ=12cm then find the length of side CD. 1).8Cm 2).12Cm3).20Cm4).16Cm​

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Quabdrilateral ABCD is a trapezium AB||CD. Point P&Q are the midpoints of side AD & BC respectively .If AB=8cm PQ=12cm then find the length of side CD. 1).8Cm 2).12Cm3).20Cm4).16Cm