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Prove that the sum of the squares of the...

Prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum to the squares of its sides.

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BAL BHARTI-PYTHAGORAS THEOREM -PRACTICE SET 2
  1. Prove that the sum of the squares of the diagonals of a parallelogram ...

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  2. Which of the following is a Pythagorean triplet?

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  3. In a right angled triangle, if sum of the squares of the sides making ...

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  4. Choose the correct altenative : out of the dates given below which dat...

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  5. If a, b, c are in A.P. and a^2, b^2, c^2 are in H.P then

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  6. Find the side and perimeter of a square whose diagonal is 10 cm.

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  7. Altitude on the hypotenuse of a right angle triangle divides it in two...

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  8. Height and base of a right angled triangle are 24 cm and 18 cm, find t...

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  9. In triangle ABC, AB=6 sqrt 3 cm, AC=12 cm, BC=6 cm. Find measure of /B

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  10. Find the height of an equilateral triangle having side 2a.

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  11. Do sides 7 cm, 24 cm, 25 cm from a right angled triangle? Give reason.

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  12. Find the length of diagonal of a rectangle having dimensions 11 cm and...

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  13. Find the length of the hypotenuse of a right angled triangle if remain...

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  14. Side of isosceles right angled triangle is x. Find its hypotenuse.

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  15. Solve the following examples. In Delta PQR : PQ = sqrt8 , QR = sqrt5 ...

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  16. In DeltaABC,angleB=90^(@),angleA=30^(@),AC=14, then find AB and BC.

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  17. Find the diagonal of a rectangle whose length is 16 cm and area is 192...

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  18. Find the length of the side and perimeter of an equilateral triangle w...

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  19. In triangle ABC, seg AP is a median. If BC=18, AB^2+AC^2=260, then fin...

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  20. triangle ABC is an equilateral triangle. Point P is on base BC such th...

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  21. Prove that the sum of the squares of the diagonals of a parallelogram ...

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