Home
Class 11
MATHS
The angles of a triangle A B C are in Ad...

The angles of a triangle `A B C` are in `AdotPdot` and it is being given that `b : c=sqrt(3):sqrt(2)` , find `/_Adot`

Text Solution

Verified by Experts

As angles are in A.P.,
`:. 2/_B = /_A+/_C`
Now, `/_A+/_B+/_C = 180`
`/_B+2/_B = 180`
`/_B = 60^@`
Now, from sine law,
`b/sinB = c/sinC`
`b/c = sinB/sinC`
...
Promotional Banner

Topper's Solved these Questions

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos
  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 Videos

Similar Questions

Explore conceptually related problems

The angles of a triangle ABC are in A.P. and it is being given that b:c= sqrt(3) : sqrt(2) , find angleA .

Problem on sine rule Type:-1(i) In a DeltaABC ; If a=2;b=3 and sinA=2/3 ;find /_B (ii) In a DeltaABC ; the angle of a triangle are in AP ; It is being given that b:c=sqrt3:sqrt2

Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b : c be sqrt(3):sqrt(2) . Find angle Adot

Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b : c be sqrt(3):sqrt(2) . Find angle Adot

The angles of a triangle ABC are in A.P and b:c = sqrt(3) : sqrt(2) find angle A

The angles of a triangle ABC are in A.P. and b:c=sqrt(3):sqrt(2)," find "angleA .

The ratio of angles in a triangle ABC is 2:3:7 then prove that a:b:c=sqrt2:2:(sqrt3+1)

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is (a) sqrt(3):(2+sqrt(3)) (b) 1:6 (c) 1:2+sqrt(3) (d) 2:3

If A , B , C are angles of a triangle which of the following will not imply it is equilateral t a n A+t a n B+t a n C=3sqrt(3) cot A+cot B+"c o t C"=sqrt(3) a+b+c=2R a^2+b^2+c^2=9R^2

If the two sides of a triangle of a triangle and the included angle are given by a= sqrt(3)+1, b = 2 and C = 60^(@) , find the other two angles and the third side.

RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In the sides of a triangle are in the ratio 1:sqrt(3):2, then the meas...

    Text Solution

    |

  2. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+ sin C)+(b^2...

    Text Solution

    |

  3. The angles of a triangle A B C are in AdotPdot and it is being given t...

    Text Solution

    |

  4. In A B C , prove that (a-b^2cos^2C/2+(a+b)^2sin^2C/2=c^2dot

    Text Solution

    |

  5. In a A B C , if a=3,b=5a n dc=7,fin dcos A ,cos Ba n dcos Cdot

    Text Solution

    |

  6. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  7. A person observes the angle of elevation of the peak of a hill from a ...

    Text Solution

    |

  8. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

    Text Solution

    |

  9. In a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle...

    Text Solution

    |

  10. In any Delta A B C , prove that: (cosA)/(bcosC+c cosB)+(cosB)/(c cos...

    Text Solution

    |

  11. In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b...

    Text Solution

    |

  12. In a Delta A B C , ifsinAa n dsinB are the roots of the equation c^2...

    Text Solution

    |

  13. In any A B C , prove that: Delta=(a^2-b^2)/2dot(sinAsinB)/(sin(A-B))

    Text Solution

    |

  14. In any triangle A B C , prove that:Delta=(b^2+c^2-a^2)/(4cotA) .

    Text Solution

    |

  15. In a triangle A B C ,a=4,b=3,/A=60^0 then c is root of the equation c^...

    Text Solution

    |

  16. In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

    Text Solution

    |

  17. In any A B C , the value of 2a csin((A-B+C)/2) is (a)a^2+b^2-c^2 ...

    Text Solution

    |

  18. In a A B C , if (c+a+b)(a+b-c)=a b , then the measure of angel C is p...

    Text Solution

    |

  19. If any triangle A B C , that: (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

    Text Solution

    |

  20. In a right angled triangle ABC, write the value of sin^2 A + sin^2 B+ ...

    Text Solution

    |