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

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) TYPE QUESTIONS|21 Videos

  • TRIANGLES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|10 Videos

  • TRIANGLES

    EDUCART PUBLICATION|Exercise VERY SHORT QUESTIONS|10 Videos

  • SURFACE AREAS AND VOLUMES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|30 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.

EDUCART PUBLICATION-TRIANGLES-SHORT ANSWER (SA-I) TYPE QUESTIONS
  1. Two sides and the perimeter of one triangle are respectively three tim...

    Text Solution

    |

  2. If in two right triangles, one of the acute angles of one triangle is ...

    Text Solution

    |

  3. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

    Text Solution

    |

  4. In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

    Text Solution

    |

  5. Is it true to say that, if in two triangles, an angle of one triangle ...

    Text Solution

    |

  6. In an equilateral triangle, prove that three times the square of on...

    Text Solution

    |

  7. PE = 4 m, QE = 4.5 m, PF = 8 m and RF = 9 m. Is EF |\| QR? Justify ...

    Text Solution

    |

  8. Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find: ...

    Text Solution

    |

  9. Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find HK

    Text Solution

    |

  10. triangle ABC - triangle DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 ...

    Text Solution

    |

  11. P and Q are the points on the sides DE and DF of a triangle DEF such t...

    Text Solution

    |

  12. In the given figure, OC.OD = OA.OB Show that : angle A = angle D " a...

    Text Solution

    |

  13. Given that triangle PQR is similar to triangle BAR, find the value ...

    Text Solution

    |

  14. triangle PQR is similar to triangle BAR, find: the value of y:

    Text Solution

    |

  15. In the given figure, find the value of x in terms of a, b and c.

    Text Solution

    |

  16. R and S are points on the sides DE and EF respectively fo a triangle D...

    Text Solution

    |

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

    Text Solution

    |

  18. The areas of two similar triangles are 36\ c m^2 and 100\ c m^2 . I...

    Text Solution

    |

  19. If DeltaABC~DeltaDEF, AB=4cm, DE=6,EF=9 cm and FD=12 cm, then find the...

    Text Solution

    |

  20. In Fig. 7 .27, if DeltaABC~ DeltaDEF and their sides are oflengths (in...

    Text Solution

    |