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In a kite-shaped park ABCD, the diagonal AC measures 40 m. A gardener marks the mid-points P and Q of sides AB and BC and lays a straight path PQ.
Using the Mid-point Theorem, what length of path PQ does the gardener need?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A40
  • B20
  • C18
  • D22

Step-by-Step Solution

In triangle ABC, P and Q are mid-points of AB and BC, so PQ = AC = (40) = 20 m.
Answer: B) 20

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