Home
Class 10
MATHS
Prove that the sum of the squares of ...

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

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)|15 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

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

Prove that three xx the sum of the squares of the sides of a triangle is equal to fourxx the sum of the squares of the medians of the triangle.

Prove that three xx the sum of the squares of the sides of a triangle is equal to four xx the sum of the squares of the medians of the triangle.

Each side of a rhombus is 10 cm, the sum of square of its diagonal is

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

Prove that three times the sum of the squares on the sides of a triangle is equal to four times the sum of the square on the medians of the triangle.

VK GLOBAL PUBLICATION-TRIANGLES-PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)
  1. A street light bulb is fixed on a pole 6 m above the level of the stre...

    Text Solution

    |

  2. In Fig.7.70, find angleE.

    Text Solution

    |

  3. D, E and F are respectively the mid-points of sides AB. BC and CA o...

    Text Solution

    |

  4. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

    Text Solution

    |

  5. Prove that the sum of the squares of the sides of a rhombus is equa...

    Text Solution

    |

  6. In Fig. 3, ABC is a right triangle, right angled at C and D is the mi...

    Text Solution

    |

  7. In Fig, ABC is an isosceles triangle in which AB= AC.Eis a point on th...

    Text Solution

    |

  8. A D is an altitude of an equilateral triangle A B Cdot On A D as base,...

    Text Solution

    |

  9. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

    Text Solution

    |

  10. AB botBC and DE bot AC. Prove that DeltaABC ~ DeltaAED.

    Text Solution

    |

  11. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  12. E is a point on side A D produced of a parallelogram A B C D and...

    Text Solution

    |

  13. D and E are respectively the points on the sides AB and AC of a triang...

    Text Solution

    |

  14. If ABC is an equilateral triangle with each side a cm such that ADbotB...

    Text Solution

    |

  15. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

    Text Solution

    |

  16. If E is a point on side r:A of an equilateral triangle ABC such that B...

    Text Solution

    |

  17. O is any point inside a rectangle ABCD. Prove that O B^2+O D^2=O A^2+...

    Text Solution

    |

  18. In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angleACB. Prov...

    Text Solution

    |

  19. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

    Text Solution

    |

  20. A B C is a triangle and P Q is a straight line meeting A B in P ...

    Text Solution

    |