Three points have co-ordinates \(P\,(-2, -3)\), \(Q\,(2, 0)\), \(R\,(8, -8)\).
- Prove that \(\widehat{PQR}=90^\circ\).
- Calculate the area of \(\Delta PQR\).
- Calculate the length of \(PR\) and hence, or otherwise, find the perpendicular distance of \(Q\) from \(PR\).