# <span lang="EN-US

Given: base BC= 5.2cm, C = 45° of ΔABC and

perimeter of ΔABC = 10 cm.

Required: To construct a ΔABC

Steps of construction:

i: Draw a segment BC of length of 5.2cm. ii: At vertex C, construct C = 45° and produce a ray P’C iii: Mark an arc on ray CP cutting at D such that CD = 4.8cm. iv: Draw segment DB. v: Construct the perpendicular bisector of segment DB. vi: Name the point of intersection of ray CP and the perpendicular bisector of DB as A. vii: Draw segment AB. ΔABC is the required triangle.

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