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Question

Construct an equilateral triangles, given its side and justify the construction.

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Solution

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

1306553_1369291_ans_2537fd5f580e487092cba7c766046baf.PNG

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