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Q-13. Construct an equilateral triangle with …

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Q-13. Construct an equilateral triangle with 5cm and justify the construction. Write steps of construction. Please friends give me answer...
  • 2 answers

Nandini 18 3 years, 9 months ago

Steps of construction : 1. Draw a line segment AB of length 5.5 cm. 2. Taking 5.5 cm as radius, and A as center, draw an arc. 3. Taking 5.5 cm as radius, and B as center, draw another arc. 4. Let C be the point where the two arcs intersect . Join AC and BC and label the sides. v

Yogita Ingle 3 years, 9 months ago

Let's assume side of equilateral triangle is 5  cm.

Steps of construction :

1) Draw a line segment AB of length 5  cm.

2) Taking 5 cm as radius, and A as centre, draw an arc.

3) Taking 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

Note: Take 5 cm in Image

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