Home
Class 11
MATHS
If in triangle ABC, (a=(1+sqrt(3))c m ,b...

If in triangle ABC, `(a=(1+sqrt(3))c m ,b=2c m ,a n d/_C=60^0` , then find the other two angles and the third side.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If the two sides of a triangle of a triangle and the included angle are given by a= sqrt(3)+1, b = 2 and C = 60^(@) , find the other two angles and the third side.

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

In a triangle ABC,a/b=2+sqrt(3) and /_C=60^(@) then angle A and B is

Let 1 < m < 3. In a triangle ABC , if 2b=(m+1) a & cosA=1/2sqrt(((m-1)(m+3))/m) prove that the are two values to the third side, one of which is m times the other.

In a triangle ABC, angle A = 60^(@) and b : c = (sqrt3 + 1) : 2 , then find the value of (angle B - angle C)

In a triangle ABC a= 4 , b= 3 , angle A =60 ^@ ,Then c is root of equation :-

Draw a triangle ABC with BC=7cm, /_B=45^0a n d/_C=60^0dot Then construct another triangle, whose sides are 3/5 times the corresponding sides of triangle A B Cdot

In a triangle /_a b c ,\ /_A=50^0,\ /_B=60^0a n d\ /_C=70^0 . Find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

If in Delta ABC, /_ C=pi/8, a= sqrt2 and b= sqrt(2+sqrt2) then find the measure of angle A (in degree).

In a triangle A B C ,/_A=60^0a n db : c=(sqrt(3)+1):2, then find the value of (/_B-/_C)dot

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy...

    Text Solution

    |

  2. Find the minimum value of 2costheta+1/(sintheta)+sqrt(2)tanthetain(0,p...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve sin^4(x/3)+cos^4(x/3)>1/2

    Text Solution

    |

  5. If sin^4alpha+cos^4beta+2=4sinalphacosbeta,0lt=alpha,betalt=pi/2 then ...

    Text Solution

    |

  6. In A B C ,/A=90^0a n dA D is an altitude. Complete the relation (B D)...

    Text Solution

    |

  7. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  8. Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 h...

    Text Solution

    |

  9. A B C is a triangle, P is a point on A B a n dQ is a point on A C such...

    Text Solution

    |

  10. Solve sinx > -1/2

    Text Solution

    |

  11. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  12. Which of the following is possible? (a) sintheta=5/3 (b) tantheta=1...

    Text Solution

    |

  13. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

    Text Solution

    |

  14. Evaluate the sine, cosine, and tangent of each of the following angles...

    Text Solution

    |

  15. Let A B C be a triangle with incenter I and inradius rdot Let D ,E ,a ...

    Text Solution

    |

  16. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |

  17. Find the reference angles corresponding to each of the following an...

    Text Solution

    |

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

    Text Solution

    |

  19. Suppose the point with coordinates (-12, 5) is on the terminal side of...

    Text Solution

    |

  20. If ma n dn(n > m) are positive integers, then find the number of solut...

    Text Solution

    |