ABC is a right triangle right-angled at B. Let D and E be any points on AB and BC respectively. Prove that `AE^2+ CD^2= AC^2+ DE^2`

ABC is right - angled triangle at B. Let D and E be any two point on AB and BC respectively . Prove that AE^2 + CD^2 = AC^2 + DE^2

If ABC is a right triangle right-angled at B and M, N are the midpoints of AB and BC respectively. Then 4 (AN^2 + CM^2) =

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

In DeltaABC, /_B=90^(@) . D and E are any points on sides AB and BC respectively. Prove that AE^(2)+CD^(2)= AC^(2)+DE^(2) .

In the given figure, ABC is a Triangle right angled at B.D and E are points on BC trisect it. Prove that 8AE^2=3AC^2+5AD^2 .

In Figure,ABC is a right triangle right angled at B and points DandE trisect BC. Prove that 8AE^(2)=3AC^(2)+5AD^(2)

ABC is a right triangle , right angled at A and D is the mid point of AB . Prove that BC^(2) =CD^2 +3BD^(2) .

In Fig. 3, ABC is a right triangle, right angled at C and D is the mid-point of BC. Prove that AB^2 = 4AD^2 - 3AC^2 .

In the adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE^(2)=3AC^(2)+5AD^(2).