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Question
Construct a ∆ ABC such that AB = 6 cm, BC = 5.6 cm and CA = 6.5 cm. Inscribe a circle to this triangle and measure its radius.
Solution
Steps of Construction :
(i) Draw a line segment AB = 6 cm.
(ii) With centre A and radius 6.5 cm and with centre B and radius 5.6 cm, draw arcs intersecting each other at C.
(iii) Join AC and BC.
(iv) Draw the angle bisector of ∠A and ∠B intersecting each other at I.
(v) From I, draw IL ⊥ AB
(vi) With centre I and radius IL, draw a circle which touches the sides of Δ ABC internally.
On measuring the required incircle whose radius is 1.6 cm.
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