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Question:

Construct a triangle PQR in which QR=6cm, ∠Q=60° and PQ−PR=2cm.

Solution:

  1. Draw QR=6 cm
  2. Draw angle 60° at Q and cut an arc of QO=2 cm.
  3. Join OR.
  4. Draw a perpendicular bisector of OR which meets QO at P.
  5. Join P−R. PQR is the required triangle.