For maintaining social distancing due to covid situation, Rohan, Sohan and Rahul are sittingequidistantly, at a distance of 3 meter in a triangular formation. Priya came and sat in between Sohan andRahul such that distance between Priya and Sohan is half the distance between Rahul and Priya. What willbe the distance between Priya and Rohan in meter?

Considering the data given, Rohan, Sohan, and Rahul are sitting in the shape of an equilateral triangle with sides 3m each. 

Since Priya's distance from Sohan is half her distance from Rahul, she is sitting at a distance of 1 m from Sohan.

Draw a perpendicular AD on BC.

In $$\triangle$$ ADC, using the Pythagoras theorem,

$$AC^2=AD^2+DC^2$$

$$3^2=AD^2+1.5^2$$

$$AD=\frac{3\sqrt 3}{2}$$

In $$\triangle ADE, using the Pythagoras theorem,

$$AE^2=AD^2+DE^2$$

$$AE^2=\frac{27}{4}+\frac{1}{4}=7$$

$$AE=\sqrt 7$$

Hence, the answer is option C.