ABCD is a trapezium in which the length of CD and AB is 12 cm and 8 cm. AC and BD are diagonals whose mid points are P and Q. Find the length of PQ? (Where, CD ∥ AB)

  1. 2 cm
  2. 4 cm
  3. 3 cm
  4. 5 cm

Answer (Detailed Solution Below)

Option 1 : 2 cm
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Detailed Solution

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Given:

AB = 8 cm

CD = 12 cm

AP = PC

BQ = QD

Formula used:

The length of line joining the mid points of the diagonals of a trapezium = (Longer parallel side - shorter parallel side)/2

Calculation:

F1 Shailendra Madhuri 23.02.2021 D13

PQ = (DC - AB)/2

⇒ (12 - 8)/2

⇒ 4/2 

⇒ 2 cm

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