Home
Class 12
MATHS
In a triangle ABC, BD is a median. If l(...

In a triangle ABC, BD is a median. If `l(BD) = (sqrt3)/4 l(AB)` and `/_DBC = pi/2`. Determine the `/_ABC`

Text Solution

Verified by Experts

The correct Answer is:
`120^(@)`
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, BD is a median.If l(BD)=(sqrt(3))/(4)l(AB) and /_DBC=(pi)/(2) Determine the /_ABC

In right -angled triangle ABC , BD bot AC . If AD =4 DC =9 then find BD.

In a triangle ABC, if AB=AC and AB is produced to D such that BD=BC, find /_ACD:/_ADC

In triangle ABC, angleBAC=90^(@) and AD_|_BC . If BD = 3 and CD = 4 cm, then the length of AD is.

In a Delta ABC, medians AD and BE are drawn.If AD=4,/_DAB=(pi)/(6) and /_ABE=(pi)/(3) then the area of Delta ABC is

In a triangle ABC, angleBCA = 90^(@) and CD is perpendicular to AB. If AD = 4 cm and BD = 9 cm, then the value of DC will be

In an equilateral triangle ABC, BD is drawn perpendicular to AC. What is BD^(2) equal to ?

In a triangle ABC,/_ABC=45^(@) and a point D is on BC such that 2BD=CD and /_DAB=15^(@) then /_ACB=

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. The angles of a triangle A B C are in AP and it is being given that b ...

    Text Solution

    |

  2. For any triangle ABC, If B=3C, show that cosC=sqrt((b+c)/(4c)) and s...

    Text Solution

    |

  3. In a triangle ABC, BD is a median. If l(BD) = (sqrt3)/4 l(AB) and /DBC...

    Text Solution

    |

  4. If ABCD is a rhombus. The circumradii of triangleABD and triangleACD a...

    Text Solution

    |

  5. In a triangle ABC if a^2+b^2=101c^2, then find the value of cotC/(cotA...

    Text Solution

    |

  6. If in a triangle ABC, the altitude AM be the bisector of /BAD, where D...

    Text Solution

    |

  7. Prove that : (abc)/(s) cos (A)/(2) cos (B)/(2) cos (C )/(2) = triangle...

    Text Solution

    |

  8. Find the angle of a triangle in which the latitude and a median drawn ...

    Text Solution

    |

  9. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

    Text Solution

    |

  10. If in a triangle ABC, /A = 30^@ and the area of triangle (sqrt3a^2)/4 ...

    Text Solution

    |

  11. If p1,\ p2, p3 are the altitudes of a triangle from the vertices A , B...

    Text Solution

    |

  12. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

    Text Solution

    |

  13. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

    Text Solution

    |

  14. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  15. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  16. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  17. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  18. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  19. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  20. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |