Home
Class 12
MATHS
In triangle ABC, (i) asin(A/2 + B) = (...

In triangle ABC,
(i) `asin(A/2 + B) = (b+c) sin A/2`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|22 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|5 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|20 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 triangle ABC, sinA sin B + sin B sin C + sin C sin A = 9//4 and a = 2 , then the value of sqrt3 Delta , where Delta is the area of triangle, is _______

In a triangle ABC, (sin A+ sin B+ sin C) (sin A+sin B-sinC)= 3 sin A sin B, then which one of the following is correct ?

In which of the following cases, there exists a triangle ABC? (a) b sin A = a, A lt pi//2 (b) b sin A gt a, A gt pi//2

In any triangle ABC, if sin^(2)A + sin^(2)B + sin^(2)C = 9/4 , show that the triangle is equilateral.

If in a triangle ABC, b sin B = c sin C, then the triangle is-

In any triangle ABC if sin A sin B sin C+ cos A cos B=1 , then show that a:b:c=1:1: sqrt(2) .

A triangle ABC is such that sin (2A + B) = 1/2 . If A,B,C are in A.P., then find the value of A,B and C.

In any triangle ABC, prove that, c sin((A-B)/2)= (a-b) cos( C/2)

If A, B and C are interior angles of a triangle ABC, then show that sin((B+C)/2) =Cos (A/2) ​

In a triangle ABC, if (a^(2)+ b^(2))sin(A-B) = (a^(2)-b^(2))sin(A+B) (where a ne b ), prove that the triangle is right angled.

CHHAYA PUBLICATION-PROPERTIES OF TRIANGLE -Short Answer Type Questions
  1. In triangle ABC, (i) asin(A/2 + B) = (b+c) sin A/2

    Text Solution

    |

  2. (ii) (b-c) cos( A/2) = a sin ((B-C)/2)

    Text Solution

    |

  3. (iii) a cosA + b cos B + c cos C = 4R sin A sin B sinC

    Text Solution

    |

  4. (iv) a sin (B-C) + b sin(C-A) + c sin (A-B)=0

    Text Solution

    |

  5. (v) (b^(2)-c^(2))/(cos B + cos C) + (c^(2)-a^(2))/( cos C + cosA) + (a...

    Text Solution

    |

  6. (vi) a cos B cos C + b cos C cosA + c cosA cos B=(abc)/(4R^(2))

    Text Solution

    |

  7. (vii) (b^(2) -c^(2)) cos 2A + (c^(2) -a^(2)) cos 2B + (a^(2) -b^(2)) c...

    Text Solution

    |

  8. (viii) (b^(2) -c^(2)) cos 2A + (c^(2)-a^(2)) cos 2B + (a^(2)-b^(2)) co...

    Text Solution

    |

  9. (ix) (a^(2) sin (B-C))/(sinA) + (b^(2) sin (C-A))/(sin B) + (c^(2) sin...

    Text Solution

    |

  10. (x) (a sin(B-C))/(b^(2)-c^(2)) = (b sin (C-A))/(c^(2)-a^(2)) = (c sin(...

    Text Solution

    |

  11. (xi) a^(2) sin 2B + b^(2) sin 2A = 4Delta

    Text Solution

    |

  12. (xii) (b+c-a)(cot 'B/2' + cot 'C/2') = 2a cot 'A/2

    Text Solution

    |

  13. (xiii) a^(3) sin (B-C) + b^(3) sin (C-A) + c^(3) sin(A-B)=0

    Text Solution

    |

  14. (xiv) a cos A + b cos B + c cos C = (abc)/(2R^(2))

    Text Solution

    |

  15. (xv) a cos (B-C) + b cos (C-A) + c cos (A-B) = (4(Delta))/R

    Text Solution

    |

  16. If C=60^(@), show that, 2a-b = 2 c cosB

    Text Solution

    |

  17. If b+c=2a, show that, 2sin 'A/2' = sin (B+A/2)

    Text Solution

    |

  18. If a cos^(2)'C/2' + c cos^(2)'A/2' = (3b)/2 then show that the sides o...

    Text Solution

    |

  19. In any triangle ABC, if 1/(a+c) + 1/(b+c) = 3/(a+b+c) then show that, ...

    Text Solution

    |

  20. If 2 cos A = (sin B)/(sin C) then show that the triangle is isosceles.

    Text Solution

    |