Home
Class 12
MATHS
Given an isoceles triangle, whose one an...

Given an isoceles triangle, whose one angle is `120^@` and radius of its incircle = `sqrt 3`. Then the area of the triangle in sq. units is

A

`4pi` sq. units

B

`(12-7sqrt3)` sq. units

C

`(12+7sqrt3)` sq.units

D

`(7+12sqrt3)` sq. units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (5)(FILL IN THE BLANKS)|3 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

Given an isosceles triangle,whose one angle is-2(pi)/(3) and the radius of its incircle =sqrt3 Then find the area of the triangle

One angle of an isosceles triangle is 120^(@) and the radius of its incricel is sqrt(3) .Then the area of the triangle in sq.units is 7+12sqrt(3)(b)12-7sqrt(3)12+7sqrt(3)(d)4 pi

If the area of the triangle is 4sq units, then x is

In Fig.3, the area of triangle ABC( in sq.units ) is :

The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm^(2) , then its perimeter is

Two medians drawn from the acute angles of a right angled triangle intersect at an angle (pi)/(6) . If the length of the hypotenuse of the triangle is 3 units,then the area of the triangle (in sq. units is (a) sqrt(3)(b)3(c)sqrt(2) (d) 9

The centroid of a triangle lies at the origin and the coordinates of its two vertices are (-8, 0) and (9, 11), the area of the triangle in sq. units is

ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

    Text Solution

    |

  2. If r1, lt r2, lt r3 are the ex-radii of a right angled triangle and r1...

    Text Solution

    |

  3. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

    Text Solution

    |

  4. AD is internal angle bisector of DeltaABC " at " angleA and DE perpend...

    Text Solution

    |

  5. Consider a triangle ABC and let a , b , and c denote the lengths of t...

    Text Solution

    |

  6. In triangleABC, if a^(2)+c^(2)-b^(2)=ac, then angleB=

    Text Solution

    |

  7. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

    Text Solution

    |

  8. In Delta ABC, cscA (sin B cos C + cos B sin C) =

    Text Solution

    |

  9. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

    Text Solution

    |

  10. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

    Text Solution

    |

  11. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

    Text Solution

    |

  12. If in a right angled triangle the hypotenuse is four times as long as ...

    Text Solution

    |

  13. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

    Text Solution

    |

  14. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

    Text Solution

    |

  15. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

    Text Solution

    |

  16. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

    Text Solution

    |

  17. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

    Text Solution

    |

  18. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

    Text Solution

    |

  19. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  20. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

    Text Solution

    |