Diagram

Construct Δ PQR, in which PQ - PR = 2.4 cm, QR = 6.4 cm and ∠PQR = 55° .

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#### Solution

Steps of construction:

(1) Draw seg QR of length 6.4 cm.

(2) Draw ray QA such that ∠RQA = 55°

(3) Take point B on ray QA such that QB = 2.4 cm.

(4) Construct the perpendicular bisector of seg BR.

(5) Name the point of intersection of ray QA and the perpendicular bisector of seg BR as P.

(6) Draw seg PR.

Therefore, △PQR is required triangle.

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