Home
Class 12
MATHS
In an equilateral triangle, three coins ...

In an equilateral triangle, three coins of radii `1` unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle `ABC` is

A

`(4+2sqrt3) cm^(2)`

B

`1/4 (12 + 7sqrt3) cm^(2)`

C

`1/4 (48+7sqrt3) cm^(2)`

D

`(6+4sqrt3 )cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 8|5 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In an equilateral triangle,three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle.The area of the triangle is (fig) 4:2sqrt(3)(b)6+4sqrt(3)12+(7sqrt(3))/(4) (d) 3+(7sqrt(3))/(4)

In an equilateral triangle, three identical coins of radii 1 units each, are kept so that they touch each other and also the sides of a triangle. Find the area of the triangle.

In an equilateral triangle 3 coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. Are of the triangle is- 4+2sqrt(3) b. 6+4sqrt(3) c. 12+(7sqrt(3))/4 d. 3+(7sqrt(3))/4

In an equilateral triangle,3 coins of radii 1 unit each are kept so each other and also the side of the triangle.the area of the triangle is:

Each side of an equilateral triangle measures 8 cm. The area of the triangle is

The perimeter of a rectangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is

If the side of an equilateral triangle is 16cm, then the area of the triangle is

Delta ABC is an equilateral triangle of side 2a units. Find each of its altitudes.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  2. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  3. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  4. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

  5. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  6. If a,b and c are the sides of a traiangle such that b.c =lamda ^(2), t...

    Text Solution

    |

  7. In a triangle ABC, AD is the altitude form- abcA (Fig. 12.9). Given b...

    Text Solution

    |

  8. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  9. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |

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

    Text Solution

    |

  11. The sides of a triangle are in AP. If the angles A and C are the great...

    Text Solution

    |

  12. If in Delta ABC, c(a+b) cos ""B/2=b (a+c) cos ""C/2, the triangle is

    Text Solution

    |

  13. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  14. In the given figure, AB is the diameter of the circle, centered at O. ...

    Text Solution

    |

  15. If in a DeltaABC, AD, BE and CF are the altitudes and R is the circumr...

    Text Solution

    |

  16. In a right angled triangle ABC, the bisector of the right angle C divi...

    Text Solution

    |

  17. A variable triangle ABC is circumscribed about a fixed circle of unit ...

    Text Solution

    |

  18. A tower of height b substends an angle at a point O on the leavel of t...

    Text Solution

    |

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

    Text Solution

    |

  20. A vertical pole (more than 100 m high) consists of two protions, the l...

    Text Solution

    |