Q. 54.4( 181 Votes )

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

Answer :

Given to construct an equilateral triangle and justify the construction.

Let us construct an equilateral triangle of 3 cms length on each side.

Steps of construction:

i. Draw a ray AX.

ii. With 3 cms as radius, draw an arc with centre as A. The place where the arc meets the ray AZ is point B.

iii. Now, with B as centre, draw another arc with the same 3 cms radius intersecting the previous arc at C.

iv. Now join AC and BC to get the required construction where ΔABC is an equilateral triangle.


As per the above construction,

AB = BC ---- (1)

[as they are the radii of the same arc]


AB = AC ---- (2)

[as they are the radii of the same arc]

From (1) & (2), we have AB = BC= AC

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