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Construct an equilateral triangle, given its side and justify the construction.

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Steps of Construction

(i) Draw a ray AX with initial point A.

(ii) Taking A as centre and radius equal to length of side of the triangle draw an arc intersecting the ray AX at B. 

(iii) Taking B as centre and the same radius draw an arc intersecting the arc drawn in step (ii) at  C.

(iv) Join AC and BC to obtain the required triangle. 

Justification 

Arcs AB, AC and BC are of the same radii 

Since, AB = BC = CA

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