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In which of the following quadrilateral,...

In which of the following quadrilateral, sum of squares of all sides is equal to the sum of squares of diagonals? a) Parallelogram b) Rhombus c) Square d) All of above

A

Parallelogram

B

Rhombus

C

Square

D

(A),(B) and(C) .

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The correct Answer is:
Option 4
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CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. In the adjoining figure,AB^2+AC^2=122,BC=10,then find AQ………..

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  2. In triangle PQR, m/PQR=90^@, seg QS|hypPR, then: a)PS^2=QS xx PR b)QS^...

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  3. In which of the following quadrilateral, sum of squares of all sides i...

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  4. In triangle XYZ, /Y=90^@, /Z=a^@, /X=(a+30)^@. If XZ=24, find XY and Y...

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  5. Sides of triangle are given as 8,15,17. Determine if it is a right ang...

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  6. Sides of triangle are given as 20,30,40. Determine if it is a right an...

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  7. Sides of triangle are given as 10,12,15. Determine if it is a right an...

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  8. Sides of triangle are given as 20,16,12. Determine if it is a right an...

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  9. A ladder 10 m long reaches a window 8m above the ground.Find the dista...

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  10. In triangle ABC, seg AD|side BC, B-D-C. Prove that AB^2+CD^2=BD^2+AC^2

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  11. In triangle PQR, /PQR=90^@, seg QS|side PR such that P-S-R. PS=4, PQ=6...

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  12. In triangle PQR, M is the midpoint of side QR. If PQ=11, PR=17 and QR=...

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  13. In triangle ABC, AP is a median on side BC. If AP=7,AB^2+AC^2=260, fin...

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  14. In triangle ABC, AB^2+AC^2=122 and BC=10. Find the length of the media...

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  15. Adjacent sides of a parallelogram are 11 cm and 17 cm. If the length o...

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  16. If 'O' is any point in the interior of rectangle ABCD,then prove that:...

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  17. Is 28, 21 and 35 a Pythagorean triplet?

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  18. In triangle PQR, /PQR=90^@, seg QS|hyp PR, PS=16, RS=9. Find QS.

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  19. In triangle ADC, /ADC=90^@, /C=45^@, AC=8 sqrt 2 cm. Find AD.

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  20. In triangle ABC, /B=90^@, /C=x^@, /A=(x+30)^@. Find /A.

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