1.

Construct an equilateral triangle of 4.5 cm .​

Answer»

Construction :  

Step 1: Draw a LINE segment AB of length 4.5 cms.  

Step 2: Take 4.5 cms as radius and A as center, draw an arc.

Step 3: Take 4.5 cms 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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