Home
Class 10
MATHS
In triangleABC, anglaBAC = 90^@ , if CD ...

In `triangleABC`, `anglaBAC = 90^@` , if CD is a median of `triangleABC`, then prove that `BC^2= CD^2+3AD^2`.

Promotional Banner

Topper's Solved these Questions

  • KANACHI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • Partnership Business

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

In triangleABC,sin((B+C)/2) =

In Delta ABC,/_A = right angle. If CD is a median, then prove that BC^(2) = CD^(2)+ 3AD^(2) .

Of the triangleABC angle B = 90^@ , BC= sqrt 3AB , sinC?

In triangleABC , if AD is the median and angleABC = 90^@ , then AC^2 =

If in DeltaABC, AD_|_ BC, then prove that AB^(2) + CD^(2) = AC^(2) + BD^(2)

If in the cyclic quadrilateral AB||CD , then prove that AD =BC and AC=BD.

In a isosceles triangle ABC , angleB is right angle. Bisector of angleBAC intersect BC at D. Prove that CD^2= 2BD^2 .

In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angleA .

In triangleABC, angleB = 90^@ and AB : BC = 2 : 1. The value of sin A + cot C is____

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^(2) + CM)^(2) = 5 BC^(2) .

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. Rs, 16820 is divided among two brothers aged 27 years and 25 years. Th...

    Text Solution

    |

  2. The simple interest in 3 years and compound interest in 2 years on a c...

    Text Solution

    |

  3. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

    Text Solution

    |

  4. The side BC of a triangle ABC is bisected at D; O is any point in AD. ...

    Text Solution

    |

  5. Two tangents AB and AC drawn from an external point A of a circle touc...

    Text Solution

    |

  6. Does the point (–2.5, 3.5) lie inside, outside or on the circle x^2 + ...

    Text Solution

    |

  7. O is a point inside the trianglePQR and frm O,OA,OB,OC are perpendicul...

    Text Solution

    |

  8. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

    Text Solution

    |

  9. A straight line L interesect the sides BC, CA and BA of triangleABC at...

    Text Solution

    |

  10. In a right angled traingle PQR ,angleP is right angle and PS is perpen...

    Text Solution

    |

  11. The radii of the two circles are 19 cm and 9 cm respectively. Find the...

    Text Solution

    |

  12. Two parallel planes which are parallel to the base of a right circular...

    Text Solution

    |

  13. Two make a right circular conical tent 22 metre broad canvas is requir...

    Text Solution

    |

  14. In a right angled triangle the length of the sides containing the righ...

    Text Solution

    |

  15. The lower part of a tent is in the form of a right circular cylinder w...

    Text Solution

    |

  16. In a cuboid, the volume, total surface area and the length of one of i...

    Text Solution

    |

  17. In a Cuboid, the volume, length and the length of its one diagonal are...

    Text Solution

    |

  18. A cylindrical vessel of radius 4 cm contains water. A solid sphere of ...

    Text Solution

    |

  19. By melting a solid iron sphere, 32 conical paper weights of equal volu...

    Text Solution

    |

  20. The ratio of the volumes of a right circular cylinder and a sphere is ...

    Text Solution

    |