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If ABCD is a rhombus, then :...

If ABCD is a rhombus, then :

A

`AC^(2)+BD^(2)=4AB^(2)`

B

`AC^(2)+BD^(2)=AB^(2)`

C

`AC^(2)+BD^(2)=2AB^(2)`

D

`2(AC^(2)+BD^(2))=3AB^(2)`

Text Solution

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The correct Answer is:
A
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.3
  1. ABCD is a parallelogram and m angleDAB=30^@, BC=20 cm and AB=20 cm. Fi...

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  2. The length of a side of a rhombus is 10 m and one of its diagonal is 1...

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  3. ABCD is a parallelogram and BD is a diagonal. angleBAD = 65^(@) and a...

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  4. If ABCD is a parallelogram in which P and Q are the centroids of Delta...

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  5. Two parallelograms stand on equal bases and between the same parallels...

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  6. If a rectangle and a parallelogram are equal in area and have the same...

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  7. If area of a parallelogram with sides l and b is A and that of a recta...

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  8. ABCD is a parallelogram and M is the mid point of BC. AB and DM are pr...

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  9. In a rectangle ABCD, P,Q are the mid-points of BC and AD respectively ...

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  10. Diagonals of a parallelogram are 8 m and 6 m respectively. If one of s...

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  11. In the given figure AD = 15 cm, AB = 20 cm and BC = CD = 25 cm. Find t...

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  12. In a trapizium ABCD, angleBAE=30^(@), angleCDF=45^(@), BC = 6 cm. and ...

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  13. Area of quadrilateral ACDE is 36 cm^(2), B is the mid-point of AC. Fin...

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  14. A square and a rhombus have the same base and rhombus is inclined at 3...

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  15. Find the area of a quadrilateral with sides 17,25, 30 and 28 cm and on...

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  16. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E....

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  17. ABCD is a parallelogram. The diagonals AC and BD intersect at a point ...

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  18. If ABCD is a rhombus, then :

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  19. If P is a point within a rectangle ABCD, then:

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  20. squareABCD is a parallelogram, AB = 14 cm, BC =18 cm and AC = 16 cm. F...

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