In Fig. 7.86, if D and E trisects BC. 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)

The following figure shows a triangle ABC in which AD is a median and AE bot BC . Prove that 2AB^(2)+ 2AC^(2) = 4AD^(2) + BC^(2) .

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)

In Delta ABC, angle B = 90^(@) and d is the mid - point of BC. Prove that AC ^(2) = AD^(2) + 3CD ^(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)

The perpendicular AD on the base BC of a triangleABC intersects BC at D, so that DB=3CD. Prove that 2AB^(2)= 2AC^(2)+BC^(2)

The perpendicular AD on the base BC of a ABC intersects BC at D so that DB=3CD. Prove that 2AB^(2)=2AC^(2)+BC^(2)

In DeltaABC , seg AD bot seg BC , DB=3CD . Prove that 2AB^(2)=2AC^(2)+BC^(2) .

In a triangle ABC,AC>AB,D is the mid- point of BC and AE perp BC .Prove that: (i) AC^(2)=AD^(2)+BCDE+(1)/(4)BC^(2)