Home
Class 11
MATHS
The angle of a triangle are in the ratio...

The angle of a triangle are in the ratio 1 : 2 : 7, prove that the ratio of the greatest side to the least side is `(sqrt(5)+1):(sqrt(5)-1)`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3O|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3P|32 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3M|8 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

The angles of a triangle are in the ratio 3 : 5 : 10, the ratio of the smallest side to the greatest side is

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is

If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides are in the ratio

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 the angles are in the ratio 5 : 3 : 7, then the triangle is

The angles of a triangle are in a ratio of 8:3:1. the ratio of the longest side of the triangle to the next longest side is

The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles are in the ratio

The sides of a triangle are in the ratio 1:2:3. If the perimeter is 30cm, find the sides.

If the angle opf a triangle are in the ratio 1:2:3, then show that the sides opposite to the respective angle are in the ratio 1: sqrt3:2.

The sides of a triangle are in the ratio 1:2: 3. If the perimeter is 36 cm, find its sides.

NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3N
  1. In DeltaABC, angleB=90^(@), angleA=30^(@), b=20cm, find a and c.

    Text Solution

    |

  2. If the ratio of angles of DeltaABC is 1:2:3, find the ratio of its sid...

    Text Solution

    |

  3. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

    Text Solution

    |

  4. In DeltaABC, a=3, b=4 and c=5, evaluate sin2C.

    Text Solution

    |

  5. In DeltaABC, prove that: sinB+sinC gt sinA

    Text Solution

    |

  6. In any DeltaABC, prove that (sinA)/(sin(A+B))=a/c

    Text Solution

    |

  7. In DeltaABC, prove that: acosA+bcosB=(c)cos(A-B)

    Text Solution

    |

  8. In DeltaABC, prove that: asinA-bsinB=csin(A-B

    Text Solution

    |

  9. In DeltaABC, C=90^(@), A=30^(@), b=6, find the remaining elements of t...

    Text Solution

    |

  10. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

    Text Solution

    |

  11. In DeltaABC, if a = 2, b = 3, c = 4, prove that cosA=7/8.

    Text Solution

    |

  12. If in DeltaABC, a=4,b=6,c=8 then 2cosA+4cosB+cosC=

    Text Solution

    |

  13. In DeltaABC, if a=6, b=8, c=10, evaluate cos2A.

    Text Solution

    |

  14. In DeltaABC, if b=7, c=24, a=25, find angleA.

    Text Solution

    |

  15. In DeltaABC, a:b:c=15:7:13, find cosA.

    Text Solution

    |

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

    Text Solution

    |

  17. In DeltaABC, a=x^(2)-1, b=2x+1, angleC=120^(@), find c.

    Text Solution

    |

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

    Text Solution

    |

  19. In DeltaABC, prove that: a(cosB+cosC)=2(b+c)sin^(2)A/2.

    Text Solution

    |

  20. In DeltaABC, prove that: b(cosA-cosC)=2(c-a)cos^(2)B/2

    Text Solution

    |