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Draw a circumcircle of an equilateral triangle with side 5 cm. Also write the steps of construction.

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Given :

Equilateral ∆ABC whose each side is 5 cm in length.

Steps of construction :

(1) Draw a line segment BC = 5 cm.

(2) Taking B as center and radius 5 cm draw an arc.

(3) Taking C as center and radius 5 cm draw another arc which intersects the first arc at A.

(4) Join AB and AC. ∠ABC is an equilateral triangle.

(5) Draw the perpendicular bisectors of AC and AB which intersect each other at O. O is the circumcentre of ∆ABC. Join O to B.

(6) Taking O as center and radius equal to OA draw a circle which passes through three vertices of ∆ABC.

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