Question

Construct an equilateral triangle with one side as 5 cm and justify the construction

Answer 1

Answer:

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Answer 2

ANSWER

Let's assume side of equilateral triangle is 5.5 cm.

Steps of construction :

1) Draw a line segment AB of length 5.5 cm.

2) Taking 5.5 cm as radius, and A as centre, draw an arc.

3) Taking 5.5 cm as radius, and B as centre, draw another arc.

4) Let C be the point where the two arcs intersect . Join AC and BC and label the sides.

Thus, △ ABC is the required equilateral triangle.

Justification :

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

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