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

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

Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    BAL BHARTI|Exercise PRACTICE SET 2.2|3 Videos

  • PROBABILITY

    BAL BHARTI|Exercise Problem Set 5|26 Videos

  • QUADRATIC EQUATIONS

    BAL BHARTI|Exercise Problem Set - 2 |27 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the side of a square whose diagonal is 10 cm.

If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals,then prove that 2a^2c=c^2b+b^2a .

A wire of length l is cut in to two parts. One part is bent into a circle and the other into a square. Show that the sum of the areas of the circle and the square is least, if the radius of the circle is half the side of the square.

If the diagonal of a square is 25sqrt(2)cm, then the length of its side is …………. .

Prove: Diagonals of rectangle are equal.

If the length of the diagonal of a square is 16 cm, then its perimeter will be

BAL BHARTI-PYTHAGORAS THEOREM -PRACTICE SET 2
  1. In triangle ABC, AB=6 sqrt 3 cm, AC=12 cm, BC=6 cm. Find measure of /B

    Text Solution

    |

  2. Find the height of an equilateral triangle having side 2a.

    Text Solution

    |

  3. Do sides 7 cm, 24 cm, 25 cm from a right angled triangle? Give reason.

    Text Solution

    |

  4. Find the length of diagonal of a rectangle having dimensions 11 cm and...

    Text Solution

    |

  5. Find the length of the hypotenuse of a right angled triangle if remain...

    Text Solution

    |

  6. Side of isosceles right angled triangle is x. Find its hypotenuse.

    Text Solution

    |

  7. Solve the following examples. In Delta PQR : PQ = sqrt8 , QR = sqrt5 ...

    Text Solution

    |

  8. In DeltaABC,angleB=90^(@),angleA=30^(@),AC=14, then find AB and BC.

    Text Solution

    |

  9. Find the diagonal of a rectangle whose length is 16 cm and area is 192...

    Text Solution

    |

  10. Find the length of the side and perimeter of an equilateral triangle w...

    Text Solution

    |

  11. In triangle ABC, seg AP is a median. If BC=18, AB^2+AC^2=260, then fin...

    Text Solution

    |

  12. triangle ABC is an equilateral triangle. Point P is on base BC such th...

    Text Solution

    |

  13. Prove that the sum of the squares of the diagonals of a parallelogram ...

    Text Solution

    |

  14. Pratik takes 8 hours to travel 36 km downstream and return to same spo...

    Text Solution

    |

  15. In DeltaABC,angleBAC=90^(@) seg BL and seg CM are medians of DeltaABC....

    Text Solution

    |

  16. Sum of the squares of adjacent sides of a parallelogram is 130 cm leng...

    Text Solution

    |

  17. In thereforeDeltaABC,segADbotsegBCandDB=3CD." Prove that : "2AB^(2)=2A...

    Text Solution

    |

  18. In an isosceles triangle, length of each congruent side is 13 cm and l...

    Text Solution

    |

  19. Seg PM is a median of triangle PQR. If PQ=40, PR=42 and PM=29, find QR...

    Text Solution

    |

  20. Seg AM is a median of triangle ABC. If AB=22, AC=34, BC=24, find AM.

    Text Solution

    |