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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`.

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KALYANI PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. In Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC...

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  2. O is a point in the interior of ∆ABC. OD,OE and OF are the perpendicul...

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

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  4. Prove that the sum of the squares of the sides of a rhombus is equal t...

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  5. A ship rail 25 km due south and then 60 km due west. How far it is the...

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  6. B is due west of A and C is due north of B. If the distance between B ...

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  7. A man travels 27 km due south then 24 km due west. Finally 20 km due n...

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  8. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

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  9. In an isosceles triangle ABC if AC=BC and AB^2 = 2AC^2, prove that /C ...

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  10. The length of the sides of a triangle are ax-by,ay+bx and sqrt((a^2+b^...

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  11. The length of the sides of a triangle are a+b,ab-1 and sqrt((a^2+1)(b^...

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  12. In the triangle ABC, BC = m^2 -n^2, AC =3 mn and AB = m^2+n^2. Prove t...

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  13. The perimeter of two similar triangles are respectively 25cm. and 15 c...

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  14. X is point on PQ and Y is a point on PR of a ∆PQR such that XY||QR. If...

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  15. Corresponding sides of two similar triangles are in the ratio 2:3. If ...

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  16. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  17. In a right angle triangle the length of the sides adjacent to the righ...

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  18. All squares are -. (Similar, congruent)

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  19. Fill in the gap : All rectangles are .

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  20. Fill in the gap : The ratio of the areas of two similar triangles is ...

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