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Prove that the sum of the squares of ...

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

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prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

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

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Prove analytically that the sum of square of the diagonals of a rectangle is equal to the sum of squares of its sides.

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RD SHARMA-TRIANGLES-All Questions
  1. A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , p...

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  2. In P Q R ,\ \ Q M|P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P M...

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  3. Prove that the sum of the squares of the diagonals of parallelogram...

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  4. If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine ...

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  5. The sides of certain triangles are given below. Determine which of ...

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  6. A man goes 15 metres due west and then 8 metres due north. How far ...

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  7. A ladder 17m long reaches a window of a building 15m above the grou...

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  8. Two poles of heights 6 m and 11 m stand on a plane ground. If the d...

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  9. In an isosceles triangle A B C ,\ A B=A C=25 c m ,\ \ B C=14 c m . ...

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  10. The foot of a ladder is 6m away from a wall and its top reaches a w...

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  11. Two poles of height 9m and 14m stand on a plane ground. If the dist...

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  12. Using Pythagoras theorem determine the length of A D in terms of ...

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  13. A triangle has sides 5cm, 12cm and 13cm. Find the length to one dec...

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  14. A B C D is a square. F is the mid-point of A Bdot B E is one ...

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  15. In an isosceles triangle A B C , if A B=A C=13 cm and the altitu...

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  16. In a A B C ,\ \ A B=B C=C A=2a and A D|B C . Prove that A D=asqrt(...

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  17. The lengths of the diagonals of a rhombus are 24cm and 10cm. Find e...

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  18. Each side of a rhombus is 10cm. If one of its diagonals is 16cm fin...

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  19. In an acute angled triangle , express a median in term of its sides.

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  20. Calculate the height of an equilateral triangle each of whose sides...

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