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A B C D is a rhombus. Prove that A B^...

`A B C D` is a rhombus. Prove that `A B^2+B C^2+C D^2+D A^2=A C^2+B D^2`

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. From a point O in the interior of a A B C , perpendiculars O...

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  2. A point O in the interior of a rectangle A B C D is joined with ...

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  3. A B C D is a rhombus. Prove that A B^2+B C^2+C D^2+D A^2=A C^2+B D^...

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  4. In a triangle A B C ,\ A C > A B , D is the mid-point of B C and A...

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  5. In a triangle A B C ,\ A C > A B , D is the mid-point of B C and A...

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  6. In an equilateral triangle A B C the side B C is trisected at D ...

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  7. In a triangle A B C ,\ \ A D|B C and A D^2=B DxxC Ddot Prove that A ...

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  8. P and Q are points on the sides C A and C B respectively of A B C, ri...

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  9. 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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  10. 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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  11. Prove that the sum of the squares of the diagonals of parallelogram...

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  12. In a right triangle A B C right-angled at C ,\ P and Q are the p...

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

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  14. The sides of certain triangles are given below. Determine which of t...

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

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

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

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

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

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

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