Q1. In the triangle ABC, E and D are points on AB while F is a point on AC. It is known that BC = BD, ED = DC, EC = EA and DF is perpendicular to AC. If FC = 3 cm and angle B is 20 degree, what is the length of DC?

a. 3 sqrt3
b. 6 cm
c. 2 sqrt3
d. None of these

Q2. In triangle PQR, G is the centriod as well as the circumcenter. A, B and C are points on the sides PQ, QR and RP respectively such that PA : AQ = QB : BR = RC : CP = 2 : 1. The area of the triangle PQR is how many times that of the triangle ABC ?
a. 3
b. sqrt3
c. 3sqrt3
d. 9