If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be _______.
Explanation:
Let the side of the cube be a units.
DF, AG and CE are body diagonals each of length a√3 units.
∴ Circumradius of the equilateral triangle = a33 = a units
∴ Circumradius = side of cube
Hence, option (a).
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