Answer is (B), (C), (D)
Let us check all four options as follows:
• Option (A): It is given that
Hence, option (B) is true.
• Option (C): Now, the radius of in circle is
Therefore, the radius of incircle is
5√3(2 - √3) = 10√3 - 15
Hence, option (C) is true.
• Option (D): Now, the area of the circumcircle is πR2, where
Therefore, the area of circumcircle is
π(10)2 = 100π
Hence, option (D) is correct.