Home
Class 11
MATHS
In DeltaABC, let A=pi/3, b=40, c=30, AD ...

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

A

`6sqrt13`

B

`4sqrt5`

C

`3sqrt34`

D

`5sqrt37`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , if r = 1, R = 3, and s = 5 , then the value of a^(2) + b^(2) + c^(2) is _____

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

In DeltaABC and DeltaDEF , /_A=/_E=40^(@) , AB:ED=AC:EF and /_F=65^(@) , then the value of /_B is

In DeltaABC, a=5,b=4,A=(pi/2)+B, thenC

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

Let us consider one vertex and one side through the vertex along x -axis of a triangle . Now the coordinates of the vertices B,C and A of any triangle ABC (0,0) ,(a,0) and (h,k) respectively should be taken . If in triangle ABC , AC =3 ,BC=4 and median AD is perpendicular with median BE , then the area of DeltaABC is -

In a DeltaABC , the point D divides BC in the ratio 1:2 Also AD is perpendicular to AB. Then the value of the expression tanB(1+2tanAtanc)-2tanC is:

If in a DeltaABC, sin^3A+sin^3B+sin^3C=3sinA.sinB.sinC, then find the value of determinant, abs[(a,b,c) ,(b,c,a),(c,a,b)]

(v) Delta ABC is equilateral and AD is a median of it. If G be the centroid of Delta ABC and GD=10 cm. find the length of GB.

(ii) AD is median of the DeltaABC and the centroid of DeltaABC is O. If AO=10 cm, then the length of OD is

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In a DeltaABC, angles A,B,C are in A.P. Then lim(A to C)sqrt(3-4sinAsi...

    Text Solution

    |

  2. If a,b,c,d,be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

    Text Solution

    |

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

    Text Solution

    |

  4. In a DeltaABC, sides a,b,c are in A.P. and 2/(1!9!)+2/(3!7!)+1/(5!5!)=...

    Text Solution

    |

  5. In an isosceles triangle ABC, AB=AC. If vertical angle A is 20^@, then...

    Text Solution

    |

  6. If f,g, h are the internal bisectors of a DeltaABC, then 1/fcos(A/2)+1...

    Text Solution

    |

  7. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  8. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

    Text Solution

    |

  9. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

    Text Solution

    |

  10. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

    Text Solution

    |

  11. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

    Text Solution

    |

  12. If I is the incenter of DeltaABC, then the ratio IA:IB:IC is equal t...

    Text Solution

    |

  13. If in a DeltaABC , a^2cos^2A=b^2+c^2, then

    Text Solution

    |

  14. In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

    Text Solution

    |

  15. In any triangle ABC,sum(sin^2A+sinA+1)/sinAis always greater than

    Text Solution

    |

  16. In DeltaABC, the value of ((r1+r2)(r2+r3)(r3+r1))/(R(s)^(2) is

    Text Solution

    |

  17. If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

    Text Solution

    |

  18. If in a triangle ABC, angleB=60^@,then

    Text Solution

    |

  19. Given an isosceles triangle with equal sides of length b,base angle a...

    Text Solution

    |

  20. In DeltaABC,A=15^@,b =10sqrt2cm the value of 'a' for which these will ...

    Text Solution

    |