Question

Construct an equilateral triangle given its side of length of 3.5 cm and justify the construction

Answer 1

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Step 1: Draw a line segment AB of length 3.5 cm.

Step 2: Take 3.5 cm as radius and A as center, draw an arc.

Step 3: Take 3.5 cm as radius and B as center, draw and arc. 

Step 4: Let C be the point where the two arcs intersect, join AC and BC and label the sides. 

Thus, triangle ABC is the required equilateral triangle. 

Justification : 

By construction, AB=BC=CA ( Radius of equal arcs)

Since all sides are equal.  Therefore, triangle ABC is an equilateral triangle. 

Thus, the construction is justified.

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