Question

Construct an equilateral triangle PQR in which all sides are of measure 4.6 cm.​

Answer 1

Answer:

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Answer 2

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.

Hope my answer is correct and helps to you