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in Mathematics by (83.7k points)

Construct a ΔABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.

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Steps of construction : 

(1) Draw a line BC = 6.5 cm. 

(2) From point B and C draw an are of 5.5 cm and 5 cm respectively and mark the intersecting point as A. 

(3) Join AB and AC. 

(4) Draw the bisectors of B and C. Let the bisectors meet at point O. 

(5) From O, drop perpeudicular on side BC. Let OD be the perpendicular drawn on BC. 

(6) With O as centre, and OD as radius. Draw a circle. 

The circle so obtained is the required circle

Given that, BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm

Radius of incircle is 2.5 cm

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