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

  • PROPERTIES OF TRIANGLE

    ICSE|Exercise MORE SOLVED EXAMPLES|8 Videos

  • PROBABILITY

    ICSE|Exercise CHAPTER TEST |6 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise CHAPTER TEST|24 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.

ICSE-PROPERTIES OF TRIANGLE-EXERCISE 7
  1. In any DeltaABC, prove that (cos2A)/a^(2)-(cos2B)/b^(2)=1/a^(2)-1/b^...

    Text Solution

    |

  2. In any DeltaABC, prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)...

    Text Solution

    |

  3. In any DeltaABC, prove that (b^(2)-c^(2))cotA+(c^(2)-a^(2))cotB+(a^(...

    Text Solution

    |

  4. In any DeltaABC, prove that a^(3)sin(B-C)cosec^(2)A+b^(3)sin(C-A)cos...

    Text Solution

    |

  5. In any DeltaABC, prove that a^(3)cos(B-C)+b^(3)cos(C-A)+c^(3)cos(A-B)...

    Text Solution

    |

  6. In a DeltaABC, if (2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ca), prove th...

    Text Solution

    |

  7. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

    Text Solution

    |

  8. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  9. If (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), prove that a^(2), b^(2), c^(2)...

    Text Solution

    |

  10. If sin2A+sin2B=sin2C, prove that A=90^(@)" or " B=90^(@).

    Text Solution

    |

  11. If in a triangle A B C ,/C=60^0, then prove that 1/(a+c)+1/(b+c)=3/(a+...

    Text Solution

    |

  12. In a DeltaABC the angles A, B, C are in A.P. show that 2cos""(A-C)/2=(...

    Text Solution

    |

  13. If the angles A, B, C of DeltaABC are in A.P. and b:c=sqrt(3):sqrt(2),...

    Text Solution

    |

  14. If A=45^(@) and B=75^(@), show that a+csqrt(2)=2b.

    Text Solution

    |

  15. The angles A, B, C of a triangle are in the ratio 3:5:4, prove that a+...

    Text Solution

    |

  16. In a DeltaABC, if cosA=17/22, cosC=1/14, prove that the ratio of the s...

    Text Solution

    |

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

    Text Solution

    |

  18. If the sides of DeltaABC in the ratio 4 : 5 : 6, prove that one angle ...

    Text Solution

    |

  19. Two sides and included angles of a triangle are respectively 3+sqrt(3)...

    Text Solution

    |

  20. In a DeltaABC, if B=3C, prove that (i) cosC=sqrt(((b+c)/(4c)))" (i...

    Text Solution

    |