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Question
Construct an equilateral triangle ABC such that it's one side = 5.5 cm. Construct a circumcircle to this triangle.
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Solution
Steps of Construction :
(i) Draw a line segment AB = 5.5 cm
(ii) With centres A and B and radius 5.5 cm, draw two arcs intersecting each other at C.
(iii) Join AC and BC.
Δ ABC is the required triangle.
(iv) Draw perpendicular bisectors of sides AC and BC which intersect each other at O.
(v) Join OA, OB and OC.
(vi) With centre O and radius OA or OB or OC, draw a circle which passes through A, B and C. This is the required circumcircle.
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