O is any point inside a rectangle ABCD. ...

O is any point inside a rectangle ABCD. Prove that `OB^(2)+OD^(2)=OA^(2)+OC^(2)`.
DEDUCTION In the given figure, O is a point inside a rectangle ABCD such that `OB=6cm, OD=8 cm and OA=5 cm,` find the length of OC.

Similar Questions

Explore conceptually related problems

In figure O is any point inside a rectangle ABCD. Prove that OB^(2)+OD^(2)=OA^(2)+OC^(2) .

O is any point inside a rectangle ABCD, Prove that OA^(2) + OC^(2)= OB^(2) + OD^(2)

O is any point inside the rectangle ABCD. If OB = 6cm, OD = 8cm and OA = 5cm, then find the length of OC.

O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2 .

O is an internal point of the rectangle ABCD such that OB = 6 cm,OD =8 cm and OA =sqrt( 19)cm . Then find the length of OC.

O is any point inside a rectangle ABCD (see the given figure). Prove that OB^(2)+OD^(2)= OA^(2)+OC^(2) .

O is any point inside a rectangle ABCD (see Fig. 6.52). Prove that OB^2 + OD^2 = OA^2 + OC^2 .

If 'O' is any point in the interior of rectangle ABCD,then prove that: OB^2+OD^2=OA^2+OC^2 .

The point O is situated within the rectangular figure ABCD in such a way that OB =6 cm, OD =8 cm and OA =5 cm. Determine the length of OC