Home
Class 12
MATHS
With usual notations, if in a triangle A...

With usual notations, if in a triangle `A B C(b+c)/(11)=(c+a)/(12)=(a+b)/(13)` , then prove that: `(cosA)/7=(cosB)/(19)=(cosC)/(25)`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

With usual notion, if in triangle A B C , (b+c)/(11)=(c+a)/(12)=(a+b)/(13),t h e np rov et h a t (cosA)/7=(cosB)/(19)=(cosC)/(25)

In a triangle ABC , if (b+c)/(11)=(c+a)/(12)=(a+b)/(13) , then cos A=

With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = (a+b)/(13) , then cos A : cos B : cos C is :

In any DeltaA B C ,(b+c)/(12)=(c+a)/(13)=(a+b)/(15),\ then prove that (cos A)/2=(cos B)/7=(cos C)/(11)dot

If in a triangle ABC , (b+c)/11=(c+a)/12=(a+b)/13 then cosA is equal to

Prove that : (a b c)/scosA/2cosB/2cosC/2=

If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c ,then the triangle is

In DeltaABC , prove that: (c-bcosA)/(b-c (cosA))=(cosB)/(cosC)

Prove that (b+c)cosA+(c+a)cosB+(a+b)cosC=2sdot

In DeltaABC , prove that: a(cosC-cosB)=2(b-c)cos^(2)A/2

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. With usual notations, if in a triangle A B C(b+c)/(11)=(c+a)/(12)=(a+b...

    Text Solution

    |

  4. ABC is a triangle and D is the middle point of BC. If AD is perpendicu...

    Text Solution

    |

  5. Show that for any triangle with sides a ,b ,a n dc3(a b+b c+c a)<(a+b+...

    Text Solution

    |

  6. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

    Text Solution

    |

  7. If Delta is the area of a triangle with side lengths a, b, and c, then...

    Text Solution

    |

  8. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  9. Let A,B,C, be three angles such that A=pi/4 and tanB ,tanC=pdot Find a...

    Text Solution

    |

  10. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  11. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  12. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |

  13. If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...

    Text Solution

    |

  14. If p(1),p(2),p(3) are the altitues of a triangle from the vertieces A,...

    Text Solution

    |

  15. If p(1),p(2),p(3) are the perpendiculars from the vertices of a triang...

    Text Solution

    |

  16. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  17. In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the ci...

    Text Solution

    |

  18. The side of a triangle inscribed in a given circle subtends angles alp...

    Text Solution

    |

  19. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  20. Circles with radii 3, 4 and 5 touch each other externally, if P is the...

    Text Solution

    |