Answer :

Steps of Construction:

1.Construct ΔDSP of given dimensions.

2.Draw perpendicular bisectors of two sides, DS and SP.

3.Denote the point of intersection as O.

4.Draw a circle with O as center and OD as radius.

As we know that for an equilateral triangle, the incenter is same as the circumcenter.

5.Taking O as center, and the OM as the radius draw a circle.

Circumradius = OP = 4.3cm

Inradius = OM = 2.1cm

For an equilateral triangle, Circumradius = 2×Inradius.

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