Question

construct an equilateral triangle given its sides of length of 4.5 cm and justify the construction​

Answer 1

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.

Answer 2

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$\huge\rm\underline\purple{Solution :-}$

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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