Question
Construct an equilateral ∆ DEF whose one side is 5.5 cm. Construct an incircle to this triangle.
✓
Answer
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 $A B$ and $A C$.
(iv) Draw the perpendicular bisectors of $\angle B$ and $\angle C$ intersecting each other at $I$.
(v) From I, draw IL $\perp B C$
(vi) With centre I and radius IL, draw a circle which touches the sides of the $\triangle A B C$ internally.
This is the required incircle.
(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 $A B$ and $A C$.
(iv) Draw the perpendicular bisectors of $\angle B$ and $\angle C$ intersecting each other at $I$.
(v) From I, draw IL $\perp B C$
(vi) With centre I and radius IL, draw a circle which touches the sides of the $\triangle A B C$ internally.
This is the required incircle.
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