In a non-right-angled triangle △ PQR,
denote the lengths of the sides opposite to the angles at P,Q,R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and PE intersect at O. If p=√3,q=1,
and the radius of the circumcircle of the △ PQR
, which of the following options is/are correct?
- Length of RS = √72
- Area of △ SOE=√312
- Length of OE = 16
- Radius of incircle of △ PQR=√32(2−√3)