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

If in a triangle the angles are in the ratio as `1:2:3` , prove that the corresponding sides are `1:sqrt(3): 2.`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Prove that if two triangles are equiangular. Then corresponding sides are in the same ratio. I,e,. Their corresponding sides are proportional.

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

In a triangle the sides are in the ratio sqrt(2) :2 : (sqrt(3)+1) . Find the possible values of the angles.

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 ratio 1 : 1 : 2, then the ratio of the sides of the triangle is

If the sides of triangle are in the ratio 3 : 5 : 7 , then prove that the minimum distance of the circumcentre from the side of triangle is half the circmradius

The areas of two similar triangles are 9 cm^2 and 16 cm^2 respectively. The ratio of their corresponding sides is

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

If the angles of a triangle are in the ratio 1:2:3 and the circumradius is 10 cm, find the lengths of its sides.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  2. If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,np...

    Text Solution

    |

  3. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  4. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  5. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  6. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  7. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  8. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then

    Text Solution

    |

  9. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  10. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  11. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  12. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  13. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

    Text Solution

    |

  14. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to

    Text Solution

    |

  15. tan100^0+tan125^0+tan100^0tan125^0 is equal to

    Text Solution

    |

  16. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  17. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  18. IF the lengths of the side of triangle are 3,5 and 7, then the largest...

    Text Solution

    |

  19. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

    Text Solution

    |

  20. Match list-I with list-II and select the correct answer using the code...

    Text Solution

    |