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Draw a ΔABC, in which AB = 6 cm, BC = 4 cm and angle B = 120°. Construct an incircle of this triangle.

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Given :

AB = 6 cm, BC = 4 cm. and ∠B = 120°

To construct: Incircle of ΔABC

Steps of construction :

(1) Draw a line segment BC = 4 cm.

(2) Construct a ray making an angle of 120° at B of BC. Cut AB = 7 cm.

(3) Join A to C, and obtain ΔABC.

(4) Now bisects ∠ABC and ∠BCA that to intersect at O.

(5) Draw OD ⊥ AC and with O as centre and OD as radius draw a circle which touches three sides of ΔABC.

This is the in circle of ΔABC.

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