[" 23.If "P" and "Q" are the points on side "CA" and "CB" respectively of "/_ABC" ,right angled at "C," prove "],[" that: "],[AQ^(2)+BP^(2)=AB^(2)+PQ^(2)]

P and Q are the mid-points of the sides CA and CB respectively of a Delta ABC , right angled at C. Prove that 4(AQ^(2)+BP^(2))=5 AB^(2) .

P and Q are points on the sides CA and CB respectively of ABC, right angled at C. Prove that AQ^(2)+BP^(2)=AB^(2)+PQ^(2)

D and E are points on the sides CA and CB respectively of a DeltaABC right angled at C. Prove that AE^(2)+BD^(2)= AB^(2)+DE^(2) .

If x and y are the mid-points of the sides CA and CB respectively of a ∆ABC right angled at C. prove that 4Ay^2=4AC^2 +BC^2

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C.Prove that AE^(2)+BD^(2)=AB^(2)+DE^(2)

D and E are points on the sides CA and CB respectively of a triangle ABC right angale at C. prove that AE^(2)+BD^(2)=AB^(2)+DE^(2).

P and Q are points on the sides C A and C B respectively of A B C , right-angled at C . Prove that A Q^2+B P^2=A B^2+P Q^2 .

P and Q are the mid-points of the sides CA and CB respectively of a triangleABC , right angled at C, prove that. (i) 4AQ^(2)=4AC^(2)+BC^(2) (ii) 4BP^(2)=4BC^(2)+AC^(2)