Home
Class 9
MATHS
Prove that the sum of the squares of the...

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

A

diagonals

B

angles

C

opposite sides

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    MODERN PUBLICATION|Exercise EXERCISE|133 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the are of the rhombus is half the product of the lengths of its diagonals.

Prove that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that the areas of the equilateral triangle described on the side of a square is equal to half the area of the equilateral triangle described on one of its diagonal.

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

Prove that the diagonals of a square are equal.

If the sum of squares of two sides is equal to square of third side then DeltaABC is

If the sum of the roots of ax^2bx +c = 0 is equal to the sum of the squares of their reciprocals, then show that c/a, a/b, b/c are in A.P.

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. If APB and CQD are two parallel lines, then the bisectors of the angle...

    Text Solution

    |

  2. The figure obtained by joining the midpoints of the sides of a rhombus...

    Text Solution

    |

  3. Dand E are the mid-points of the sides AB and AC of DeltaABC and O is ...

    Text Solution

    |

  4. The figure formed by joining the midpoints of the sides of a quadrilat...

    Text Solution

    |

  5. The diagonals AC and BD of a parallelogram ABCD intersect each other a...

    Text Solution

    |

  6. Which of the following is not true for a parallelogram?

    Text Solution

    |

  7. D and E are the mid-points of the sides AB and AC respectively of Delt...

    Text Solution

    |

  8. The length of the diagonals of a rhombus are 24 cm and 32 cm. the peri...

    Text Solution

    |

  9. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  10. In the fig. ABCD is a parallelogram if angleADB=30^@ and angleDCB=80^@...

    Text Solution

    |

  11. In a parallelogram PQRS, write the sum angles of P and Q.

    Text Solution

    |

  12. The angle of a quadrilateral are in the ratio 1:3:5:6 find the greates...

    Text Solution

    |

  13. ABCD is a rectangle in which diagonal AC bisects /A as well as /C. Sho...

    Text Solution

    |

  14. State and prove mid point theorem.

    Text Solution

    |

  15. The figure formed by joining the mid points of the adjacent sides of a...

    Text Solution

    |

  16. E and F are points on diagonals AC of a parallelogram ABCD such that A...

    Text Solution

    |

  17. If the length of the side of a rhombus is equal to the length ...

    Text Solution

    |

  18. In the fig. AD is a median of triangle ABC and E is the mid point of A...

    Text Solution

    |

  19. ABCD is a rectangle and P, Q, R and S are the mid-points of the sides ...

    Text Solution

    |

  20. ABCD is a quadrilateral in which AB||DC and AD=BC. Prove that angleA=a...

    Text Solution

    |