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

Given: Base QR= 6.4cm, PQ-PR= 2.4cm and

∠Q = 545° of Δ PQR.

Required: To construct a triangle PQR.

Steps of construction:

i: Draw a segment QR of length 6.4cm.

ii: Draw ray QL such that ∠Q = 55°

iii: Mark an arc on ray QL cutting at D such that QD = 2.4cm.

iv: Draw segment RD.

v: Construct the perpendicular bisector of segment RD.

vi: Name the point of intersection of ray QL and the perpendicular bisector of RD as P.

vii: Draw segment PR.

ΔPQR is the required triangle.