Home
Class 12
MATHS
In DeltaABC, if the sides are 7, 4sqrt...

In `DeltaABC`,
if the sides are `7, 4sqrt(3) and sqrt(13)` cm, prove that the smallest angle is `30^(@)`.

A

`15^(@)`

B

`45^(@)`

C

`30^(@)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTIONS OF TRIANGLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|16 Videos
  • SCALER AND VECTOR PRODUCTS OF TWO VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|12 Videos
  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|25 Videos

Similar Questions

Explore conceptually related problems

In a DeltaABC , if a = 3, b=2sqrt(3) and c=sqrt(3) , then A=

In a DeltaABC if the length of the sides are sqrt(2), sqrt(6) and sqrt(8) , then the measures of the angles are

In a DeltaABC , if a = 40, c=40sqrt(3) and B=30^(@) , then the triangle is

In a DeltaABC , in the sum of two sides is sqrt(3) times their difference and the included angle is 60^0 , find the difference of the remaining angles.

With the usual notation in DeltaABC if angleA+angle B=120^(@),a=sqrt(3)+1 and b=sqrt(3)-1 then the ratio angle A:angleB is

If x= (7+4sqrt(3)), prove that x+1//x= 14

In a DeltaABC , the median to the side BC is of length 1/sqrt(11-6sqrt3) and it divides the angleA into angles 30^@ and 45@. Find the length of the side BC.

In a DeltaABC , the median to the side BC is of length 1/sqrt(11-6sqrt3) and it divides the angleA into angles 30^@ and 45@. Find the length of the side BC.

In a DeltaABC , if A=30^(@) , C=105^(@) and b=3sqrt(2) , then a =

In a DeltaABC if a = 2, b=sqrt(6),c=sqrt(3)+1 , then cos A=

OBJECTIVE RD SHARMA ENGLISH-SOLUTIONS OF TRIANGLES -Exercise
  1. If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be ...

    Text Solution

    |

  2. If the data given to construct a triangle ABC are a = 5, b= 7, sin A=3...

    Text Solution

    |

  3. We are given b, c and sin B such that B is acute and b lt c sin B. The...

    Text Solution

    |

  4. In a A B C ,if=2,/B=60^0a n d/C=75^0 , then b= sqrt(3) (b) sqrt(6) ...

    Text Solution

    |

  5. In DeltaABC, if A = 30^@,b= 8,a=6, B = sin^-1 x, then x=

    Text Solution

    |

  6. If a=2, b=3, c=5 " in "DeltaABC, then C=

    Text Solution

    |

  7. In DeltaABC, if the sides are 7, 4sqrt(3) and sqrt(13) cm, prove tha...

    Text Solution

    |

  8. In a DeltaABC, if c = 2, A=120^(@), a=sqrt(6), then C=

    Text Solution

    |

  9. If A=30^0, a=7,a n db=8 in A B C , then find the number of triangles ...

    Text Solution

    |

  10. If a DeltaABC, b=2, C=60^(@), c=sqrt(6), then a =

    Text Solution

    |

  11. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

    Text Solution

    |

  12. In a DeltaABC, If A=30^@,b=2,c=sqrt3+1, then (C-B)/2 is

    Text Solution

    |

  13. In a DeltaABC if a = 2, b=sqrt(6),c=sqrt(3)+1, then cos A=

    Text Solution

    |

  14. In a DeltaABC, if A=45^(@), b=sqrt(6), a=2, then B=

    Text Solution

    |

  15. In a triangle, the lengths of the two larger sides are 10 and 9, res...

    Text Solution

    |

  16. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

    Text Solution

    |

  17. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

    Text Solution

    |

  18. In the ambiguous case, if a, b and A are given and c(1), c(2) are the ...

    Text Solution

    |

  19. In the ambiguous case, if a, b and A are given and c(1), c(2) are the ...

    Text Solution

    |

  20. The smallest angle of the triangle whose sides are 6 + sqrt(12), sqrt(...

    Text Solution

    |