Home
Class 14
MATHS
In the equilateral triangle ABC, AD = DE...

In the equilateral triangle ABC, AD = DE = BE, D and E lies on the AB. If each side of the triangle (i.e., AB, BC and AC) be 6 cm, then the area of the shaded region is:

A

`9 cm^(2)`

B

`6sqrt(3) cm^(2)`

C

`5sqrt(3) cm^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    DISHA PUBLICATION|Exercise Practice Exercises (EXPERT LEVEL)|45 Videos
  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
  • MENSURATION

    DISHA PUBLICATION|Exercise Practice Exercises ( Foundation Level) |70 Videos
  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos
  • MOCK TEST - 3

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

Similar Questions

Explore conceptually related problems

DeltaABC is equilateral triangle. Where AD = DE = BE, D and E lies on the AB. If each side of the triangle be 6cm. Then the area of shaded region.

In the equilateral triangle ABC, AD=DE=BE, D and E lie on the AB. If each side of the /_\ABC is 6cm ,then the area of the shaded region is

The diameter of a semicircle and the base of an equilateral /_\ABC coincide in such a way that the other two sides of the triangle intersect the circumference of the semicircle at the points D and E, as shown in the diagram. If the perimeter of the triangle ABC is 6 cm, find the area of the shaded region.

A straight line parallel to the base BC of the triangle ABC intersects AB and AC at the points D and E respectively. If the area of the Delta ABE be 36 sq. cm, then the area of the Delta ACD is

ABC is a right-angled triangle at A. Semicircles drawn on AB, AC and BC as diameters. Find area of the shaded region.

ABC is a triangle in which D, E and F are the mid-points of the sides AC, BC and AB respectively. What is the ratio of the area of the shaded to the unshaded region in the triangle?

In an equilateral Delta ABC, D is the midpoint of AB and E is the midpoint of AC. Then, ar (Delta ABC) : ar (Delta ADE)=?

DISHA PUBLICATION-MENSURATION-Practice Exercises (STANDARD LEVEL)
  1. In the figure given below, ABCO represents a quadrant of a circle of r...

    Text Solution

    |

  2. The volume of spheres are proportional to the cubes of their radii. Tw...

    Text Solution

    |

  3. If the sides 50 m and 130 m of the triangular field meet at an angle o...

    Text Solution

    |

  4. In the adjoining figure is a park in which shaded area is to be covere...

    Text Solution

    |

  5. ABCD is a quadrilateral. The diagonals of ABCD intersect at the point ...

    Text Solution

    |

  6. Two circles of radius 1 cm touch at point P. A third circle is drawn t...

    Text Solution

    |

  7. A toy is in the shape of a right circular cylinder with a hemisphere o...

    Text Solution

    |

  8. A square hole of cross-sectional area 4 cm2 is drilled across a cube w...

    Text Solution

    |

  9. In the equilateral triangle ABC, AD = DE = BE, D and E lies on the AB....

    Text Solution

    |

  10. ABCD is a rectangle of dimensions 6cmxx8cm. DE and BF are the perpendi...

    Text Solution

    |

  11. Two circles touch internally and their centres are O and Oc as shown. ...

    Text Solution

    |

  12. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |

  13. Each of these questions consists of a question followed by information...

    Text Solution

    |

  14. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |

  15. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |

  16. In a city, there is a circular park. There are four points of entry in...

    Text Solution

    |

  17. In the figure, ABC is a right angled triangle with B = 90^(@) , BC = 2...

    Text Solution

    |

  18. PQRS is the diameter of a circle of radius 6 cm. The lengths PQ, QR an...

    Text Solution

    |

  19. In the figure below, the radius of the bigger circle is (sqrt(2) +1) ...

    Text Solution

    |

  20. In a triangle ABC, AD is the angle bisector of angleBAC and angleBAD=6...

    Text Solution

    |