Home
Class 10
MATHS
In DeltaABC, /A = 90^@ If CD be a media...

In `DeltaABC, /_A = 90^@` If CD be a median, then prove that `BC^2 = CD^2 + 3AD^2`

Promotional Banner

Topper's Solved these Questions

  • RIGHT CIRCULAR CYLINDER

    CALCUTTA BOOK HOUSE|Exercise Exercise - 2 (Long-answer type questions)|11 Videos
  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

Similar Questions

Explore conceptually related problems

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

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

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

In Delta ABC , AD is a median and AM _|_ BC.Prove that (a) AC^(2) = AD^(2) +BC.DM+ ((BC)/(2))^(2) (b) AB^(2) = AD^(2) -BC.DM+ ((BC)/(2))^(2) (c ) AC^(2) + AB^(2) = 2AD^(2) +(1)/(2) BC^(2)

If in ABC,A is right angle and BP and CQ are two medians, then prove that 5 BC^2 = 4 (BP^2 + CQ^2) .

In Delta ACB, angle C = 90^(@) and CD bot AB Prove that (BC^(2))/(AC^(2)) = (BD)/(AD) .

In DeltaABC, let A=pi/3, b=40, c=30, AD is a median, them the value of AD is

In Delta ABC , AD_|_ BC which intersects BC at D. If BD =3 CD , then prove that 2AB^(2) = 2AC^(2)+BC^(2)

In Delta ABC, /_A is a right angle and AO is perpendicular to BC. Prove that AO^(2) = BO.CO .

If a+c = 2b and 2/c= 1/b+1/d then prove that a:b = c:d.

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. State and prove Pythangoras theorem.

    Text Solution

    |

  2. Prove that the opposite angles of a cyclic quadrilateral are suplemena...

    Text Solution

    |

  3. In DeltaABC, /A = 90^@ If CD be a median, then prove that BC^2 = CD^2...

    Text Solution

    |

  4. Construct a circle of radius 2*8 cm. Take a point at a distance of 8 ...

    Text Solution

    |

  5. If the sum of two angles be 135^@ and the difference of them be pi/12...

    Text Solution

    |

  6. If x sin 60^@ cos^@ 30^@ = (tan^2 45^@ sec 60^@)/("cosec 60"^@) then ...

    Text Solution

    |

  7. If tan50^(@) = p/q, then find the value of cos40^@.

    Text Solution

    |

  8. A passenger of an aeroplane observes that Howrah station is at one sid...

    Text Solution

    |

  9. The lengths of shadow of a tower standing on the ground is found to be...

    Text Solution

    |

  10. If 64 water - filled buckets of equal volume are taken out from a cub...

    Text Solution

    |

  11. A right circular cylindrical tank of 9 metre height is filled with wa...

    Text Solution

    |

  12. Calculate how many bullets with lengths of 1 cm radius may be formed b...

    Text Solution

    |

  13. Find the value of(sqrt2+sqrt3)div(sqrt2-sqrt3).

    Text Solution

    |

  14. Find the value of(sqrt5+2)div(sqrt3-1).

    Text Solution

    |

  15. Find the value of 4div(3-sqrt2).

    Text Solution

    |

  16. If a principal becomes dublein 10 years. Then the rate of simple inter...

    Text Solution

    |

  17. The mean - proportional of 16 and 25 is

    Text Solution

    |

  18. O is the circumcentre of Delta ABC and if /OAB = 50^@, then the value ...

    Text Solution

    |

  19. pi/6 redian =

    Text Solution

    |

  20. If the ratio the volumes of two solid sphres is 1 : 8, the ratio of th...

    Text Solution

    |