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Diagonals of rhombus ABCD intersect each...

Diagonals of rhombus ABCD intersect each other at point O. Prove that :
`" "OA^(2)+OC^(2)=2AD^(2)-(BD^(2))/2`

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ICSE-PYTHAGORAS THEORAM-EXERCISE 13(B)
  1. In the figure, given below, AD | BC. Prove that : c^(2)=a^(2)+b^(2)...

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  2. In equilateral /\ABC, AD | BC and BC=x cm. Find, in terms of x, the le...

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  3. ABC is a triangle, right angled at B, M is a point on BC. Prove that :...

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  4. M and N are mid- point on sides QR and PQ respectively of /\ PQR, rig...

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  5. M and N are mid point on sides QR and PQ respectively of /\ PQR, rig...

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  6. M and N are point on sides QR and PQ respectively of /\ PQR, right-an...

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  7. In Figure, Pa n dQ are the midpoints of the sides C Aa n dC B respecti...

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  8. about to only mathematics

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  9. In a rectangle ABCD, prove that : AC^(2)+BD^(2)=AB^(2)+BC^(2)+CD^(2)+D...

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  10. In a quadrilateral ABCD, angleB=90^(@) and angleD=90^(@). Prove that :...

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  11. O is any point inside a rectangle ABCD. Prove that O B^2+O D^2=O A^2+...

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  12. In the following figure, OP, OQ and OR are drawn perpendiculars to the...

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  13. Diagonals of rhombus ABCD intersect each other at point O. Prove that ...

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  14. In the figure AB = BC and AD is perpendicular to CD. Prove that : " ...

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  15. In an isosceles triangle ABC, AB = AC and D is a point on BC produced....

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  16. In triangle ABC, angle A =90^(@), CA=AB and D is a point on AB produce...

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  17. In triangle ABC, AB=AC and BD is perpendicular to AC. Prove that : BD^...

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  18. In the following figure, AD is perpendicular to BC and D divides BC in...

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