Home
Class 12
MATHS
The sides of a triangle are a,b and sqrt...

The sides of a triangle are a,b and `sqrt(a^(2)+b^(2)+ab)` then the greatest angle is

A

`60^(@)`

B

`90^(@)`

C

`120^(@)`

D

none of these

Text Solution

AI Generated Solution

To solve the problem, we need to find the greatest angle in a triangle with sides \( a, b, \) and \( c = \sqrt{a^2 + b^2 + ab} \). ### Step-by-Step Solution: 1. **Identify the sides of the triangle**: - Let the sides of the triangle be \( A = a \), \( B = b \), and \( C = \sqrt{a^2 + b^2 + ab} \). 2. **Determine the largest side**: ...
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|95 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise SOLVED MCQ|2 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If the sides of a triangle are a, b and sqrt(a^(2) + ab + b^(2)) , then find the greatest angle

If the sides of a triangle are in the ratio x:y:sqrt(x^(2)+xy+y^(2)) ,then the greatest angle is

If the sides of a triangle are x, y and sqrt((x^(2) + xy + y^(2))) , then then measure of its greatest angle is....

If the lengths of the sides of a triangle are a - b , a + b and sqrt(3a^(2)+b^(2)),(a,bgt,0) , then the largest angle of the triangle , is

The sides of a triangle are x^(2)+x+1,2x+1, and x^(2)-1. Prove that the greatest angle is 120^(@) .

the side of a triangle are 1/2 ( a+b),1/2(a-b) and sqrt(ab) state the nature of triangle.

If the sides of a triangle are in A.P and difference between the greatest and least angles is (pi)/(2) , and sin((B)/(2))=(1)/(a sqrt(b)) , then a+b = ?

The sides of a triangle are given by sqrt(a^(2) + b^(2)), sqrt(c^(2) + a^(2)) and Sqrt(b ^2+ c^2) where a, b, c are positive. What is the area of the triangle equal to ?

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. The sides of a triangle are a,b and sqrt(a^(2)+b^(2)+ab) then the grea...

    Text Solution

    |

  2. If the sides of a triangle are in the ratio 3 : 7 : 8, then find R : r

    Text Solution

    |

  3. The area of the reactangle polygen of n sides is (where R is the radiu...

    Text Solution

    |

  4. If the angles of a rectangle are 30^(@) and 45^(@) and the included si...

    Text Solution

    |

  5. In a triagnle ABC, angle B=pi/3 " and " angle C = pi/4 let D divide ...

    Text Solution

    |

  6. If A is the area and 2s the sum of the sides of a triangle,then

    Text Solution

    |

  7. If in a triangle ABC, right angled at B, s-a=3, s-c=2, then the values...

    Text Solution

    |

  8. If the sides of a triangle are a, b and sqrt(a^(2) + ab + b^(2)), then...

    Text Solution

    |

  9. In a DeltaA B Csum(b+c)tanA/2tan((B-C)/2)=

    Text Solution

    |

  10. In triangle ABC, angleA=pi/3 and b:c =2:3, tan theta=sqrt3/5, 0 lt the...

    Text Solution

    |

  11. In a DeltaABC, AD is the altitude from A. Given bgtc ,angleC=23^(@) an...

    Text Solution

    |

  12. If the angles A, B, C (in that order) of triangle ABC are in arithmeti...

    Text Solution

    |

  13. If the radius of the incircle of a triangle withits sides 5k, 6k and 5...

    Text Solution

    |

  14. Two sides of a triangle are 2sqrt2 and 2sqrt3cm and the angle opposite...

    Text Solution

    |

  15. In a triangleABC, a=13cm, b=12 and c=5cm The distance of A from BC is

    Text Solution

    |

  16. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

    Text Solution

    |

  17. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

    Text Solution

    |

  18. In DeltaABC if a=(b-c)sectheta then (2sqrt(bc))/(b-c)sin(A/2)=

    Text Solution

    |

  19. In a DeltaABC, (a + b + c) (b + c - a) = lambda bc. (where symbols ha...

    Text Solution

    |

  20. If in DeltaABC, a=2b and A=3B, then A is equal to

    Text Solution

    |

  21. Let the angles A , B and C of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |