D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that `A E^2+B D^2=A B^2+D E^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 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 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).

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) .

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)

P and Q are the mid point of the sides CA and CB respectively of a triangle ABC, right angled at C. then, find the value of 4 (AQ^(2) + BP^(2) ) .

If D and E are points on sides A B and A C respectively of a triangle A B C such that D E || B C and B D=C E . Prove that A B C is isosceles.

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.