Home
Class 12
MATHS
In triangleABC angleB=60^(@), c=2sqrt(3...

In `triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2)` then find `angleA`.

Text Solution

Verified by Experts

The correct Answer is:
`angleA =75^(@)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|28 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|22 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple choice questions)|13 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

In triangleABC, angleA=60, b = sqrt(3)+1 and c = sqrt(3)-1 then the value of tan ((B-C)/2) is-

In a triangle ABC the angle A=60^(@) and b:c = (sqrt(3)+1):2 . Find the other two angles B and C.

Of the triangleABC angle B = 90^@ , BC= sqrt 3AB , sinC?

If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA

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

In triangle ABC , A=60^@,B=45^@ and a=2sqrt3 , then find b?

In an triangle, ABC, if A=60^(@),B=45^(@) and a=2sqrt(3) units then, b=

If B=30^(@), b=3sqrt(2)-sqrt(6), c=6-2sqrt(3) , solve the triangle.

In a triangle A B C ,/_A=60^0a n db : c=(sqrt(3)+1):2, then find the value of (/_B-/_C)dot

Write True or False: in triangleABC,angleB= 90^@ , if AB = BC then tanangleC = 1/sqrt3 .

CHHAYA PUBLICATION-PROPERTIES OF TRIANGLE -Very Short Answer Type Questions
  1. In a triangle the sides are in the ratio sqrt(2) :2 : (sqrt(3)+1). Fin...

    Text Solution

    |

  2. If the angles of a triangle are in the ratio 2:3:7 and the circumradiu...

    Text Solution

    |

  3. In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angle...

    Text Solution

    |

  4. In a triangle ABC the angle A=60^(@) and b:c = (sqrt(3)+1):2. Find the...

    Text Solution

    |

  5. If the two sides and the included angle are respectively a=sqrt(3)+1, ...

    Text Solution

    |

  6. Find the angles of the triangle whose sides are (sqrt(3)+1)/(2sqrt(2))...

    Text Solution

    |

  7. Find the area of the triangle if (i) a=13, b=14, c=15 (ii) a:b :c ...

    Text Solution

    |

  8. If in a triangle ABC, a=3, b=5 and c=7, show that the triangle is obtu...

    Text Solution

    |

  9. If (sin A)/3 = (sin B)/3 = (sin C)/4, then prove that, cos C=1/9.

    Text Solution

    |

  10. If in a triangle ABC, (a-b+c)/2 = ab/(b+c-a) then prove that angleC=90...

    Text Solution

    |

  11. If a=3, b=4, c=5, find the value of tan( B/2).

    Text Solution

    |

  12. If a=2b and A=3B, find the angles of the triangle ABC.

    Text Solution

    |

  13. (i) (b+c) cos A + (c+a) cosB + (a+b) cos C= a+b+c

    Text Solution

    |

  14. (ii) (b-c) sin A + (c-a) sinB+ (a-b) sinC=0

    Text Solution

    |

  15. (iii) a(b cosC - c cosB) = b^(2) -c^(2)

    Text Solution

    |

  16. (iv) a^(2)(cos^(2) B - cos^(2)C) + b^(2) (cos^(2) C- cos^(2)A) + c^(2)...

    Text Solution

    |

  17. (v) 2(bc cosA + ca cosB + ab cosC) = a^(2) +b^(2)+c^(2)

    Text Solution

    |

  18. (vi) (a^(2)-b^(2) -c^(2))tan A + (a^(2) - b^(2) +c^(2))tan B=0

    Text Solution

    |

  19. (vii) (b^(2) +c^(2) -a^(2)) tan A = (a^(2) -b^(2) +c^(2))tan B

    Text Solution

    |

  20. (viii) (b+c-a) tan( A/2) = (c+a-b) tan( B/2) = (a+b-c) tan C/2

    Text Solution

    |