In triangle PQR, median QS and RT intersect at a right angle at G=9 cm, and RT is 12 cm. Find the length of QG and the area of triangles TQR and PQR.
a) QG = 4.5 cm, Area TQR = 54 sq. cm, Area PQR = 108 sq. cm
b) QG = 6 cm, Area TQR = 36 sq. cm, Area PQR = 72 sq. cm
c) QG = 3 cm, Area TQR = 27 sq. cm, Area PQR = 54 sq. cm
d) QG = 4 cm, Area TQR = 48 sq. cm, Area PQR = 96 sq. cm