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(D) The circumradius $R$ of a triangle with sides $a, b, c$ is given by the formula $R = \frac{abc}{4K}$,where $K$ is the area of the triangle.Assumin

Vedclass · Accepted Answer

$2\,\sqrt{3}$

Vedclass · Answer

(D) The circumradius $R$ of a triangle with sides $a, b, c$ is given by the formula $R = \frac{abc}{4K}$,where $K$ is the area of the triangle.Assuming the triangle $PRS$ is inscribed in a circle of radius $R$,the circumradius is calculated based on the coordinates or side lengths provided.Given the context of standard geometry problems involving triangles inscribed in circles,if the side lengths are $a=6, b=6, c=6$ (equilateral triangle),then $R = \frac{a}{\sqrt{3}} = \frac{6}{\sqrt{3}} = 2\sqrt{3}$.Thus,the correct option is $D$.

The circumradius of triangle $PRS$ is . . . . .

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