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Question
Construct an equilateral ∆ DEF whose one side is 5.5 cm. Construct an incircle to this triangle.
Solution
Steps of Construction :
(i) Draw a line segment BC = 5.5 cm.
(ii) With centres B and C and radius 5.5 cm each draw two arcs intersecting each other at A.
(iii) Join AB and AC.
(iv) Draw the perpendicular bisectors of ∠B and ∠C intersecting each other at I.
(v) From I, draw IL ⊥ BC
(vi) With centre I and radius IL, draw a circle which touches the sides of the Δ ABC internally.
This is the required incircle.
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