In a right triangle ABC, right angled at C. P and Q are points of the sides CA and. CB respectively, which divide these sides in the ratio 2 : 1.
Prove that : 9AQ2 = 9AC2 + 4BC2
9BP2 = 9BC2 + 4AC2
9(AQ2 +BP2) = 13 AB2
Since P divides AC in the ratio 2 :1