# Jaya drew an incircle of a square. That circle is also circumscribe an equilateral triangle of which each length of side of 4√3 cm. Let us write by calculating the length of diagonal of square.

Given: Length of side of equilateral triangle = 4√3 cm

Height of equilateral triangle

The centroid of equilateral triangle is at A and lies on height BK.

BA = 4 cm

So, the radius of the circum circle of this triangle = 4 cm.

Now, diameter of the circle = 2× radius = 8 cm

IJ = 8 cm

From the figure, IJ = EH = side of the square

Side of the square = 8 cm

We know that the diagonal of a square =√2× side

FH = 8√2 cm

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