Diagram

Construct Δ ABC, such that BC = 6 cm, ∠ABC = 100° and AC - AB = 2.5cm.

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#### Solution

Steps of construction:

(1) Draw seg BC of length 6 cm.

(2) Draw ray BE such that ∠CBE = 100°

(3) Take point D on the opposite of ray BE such that BD = 2.5 cm.

(4) Construct perpendicular bisector of seg DC.

(5) Name the point of intersection of ray BE and the perpendicular bisector of DC as A.

(6) Draw seg AC.

Therefore, △ABC is required triangle.

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