construct an equilateral triangle given its side and justify the construction.Let us draw an equilateral triangle of side 3.7cm
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Answer:
Let the equilateral triangle be ABC
1.Draw AB=5cm
2.Taking A and B as centers, radius =AB=5cm,draw two arcs intersecting each other at A
3.Join AB and AC
Thus, △ABC is our required triangle.
Justification:
By construction,AB=AC=BC(radius of equal arcs)
Since all sides are equal.
∴△ABC is an equilateral triangle.
Thus, the construction is justified
Step-by-step explanation:
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Answer:
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