Home
Class 11
MATHS
If the angle opf a triangle are in the r...

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.`

A

`1:3:5 `

B

`2:3:4`

C

`3:2:1`

D

`1:2:3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

The angles of a triangle are in the ratio 5:3:7. the triangle is

The angles of a triangle are in the ratio 2:3:7. find the three angles.

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

If the angles of triangle are in the ratio of 2 : 3 : 4 , find the three angles.

If the angles of a triangle are in the ratio 3:4:5, then the greatest angle in radians is:

The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in radians.

IF the angles of a triangle are in the ratio 1:2:3 find the measure of smllest angles.

The angles of a traingle are in the ratio 2:3:4. find the angles of the triangle.

If two angles of a triangle are unequal, then greater angle has the larger side opposite to it,

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

    Text Solution

    |

  2. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

    Text Solution

    |

  3. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  4. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  5. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  6. The number of solutions of the pair of equations: 2 sin^2 theta- cos 2...

    Text Solution

    |

  7. If p and q are positive real numbers such that p^2+ q^2=1, then the m...

    Text Solution

    |

  8. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

    Text Solution

    |

  9. AB is a vertical pole with B at the ground level and A at the top. A m...

    Text Solution

    |

  10. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  11. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

    Text Solution

    |

  12. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

    Text Solution

    |

  13. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  14. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  15. Let ABC be a triangle such that angle ABC =pi/6. If a, b and c denote ...

    Text Solution

    |

  16. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  17. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  18. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

    Text Solution

    |

  19. Prove that 3/4 le cos^2 theta +sin^4 thetale1. Hence deduce that 3/4 l...

    Text Solution

    |

  20. Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos...

    Text Solution

    |