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Given: base QR= 4.2cm, PQ+PR= 8.5cm and

Q = 40° of Δ PQR.

Required: To construct a ΔPQR

Steps of construction:

s

i: Draw a segment QR of length of 4.2cm. ii: At vertex Q, construct Q = 40° and produce a ray QB. iii: Mark an arc on ray QB cutting at D such that QD = 8.5cm. iv: Draw segment DR. v: Construct the perpendicular bisector of segment DR. vi: Name the point of intersection of ray QB and the perpendicular bisector of DR as P. vii: Draw segment RP. ΔPQR is the required triangle.

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