Home
Class 9
MATHS
The area of an equilateral triangle is 8...

The area of an equilateral triangle is `81sqrt(3)cm^2`. Its height is

A

`6sqrt(3)cm`

B

`9sqrt(3)cm`

C

`18sqrt(3)cm`

D

9 cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HERON'S FORMULA

    MODERN PUBLICATION|Exercise EXERCISE|69 Videos

  • COORDINATE GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|110 Videos

  • INTRODUCTION TO EUCLID'S GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|86 Videos

Similar Questions

Explore conceptually related problems

If the area of an equilateral is triangle is 8sqrt(3)cm^2 , find its height.

If the area of an equilateral triangle is 16 sqrt3 cm^2 , then the perimeter of the triangle is

The area of an equilateral triangle with side 2 sqrt3 cm is :

The area of the equilateral triangle is 20 sqrt3 cm^2 whose each side is 8 cm.

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use pi=3.14 and sqrt3=1.73205 )

The area of an equilateral triangle ABC is 17320.5 cm^(2) . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region. (Use pi=3.14 and sqrt(3)=1.73205 )

The lengths of each side of an equilateral triangle of area 4sqrt(3)cm^2 is

Prove that the area of an equilateral triangle (sqrt3)/(4)a^2 , where 'a' is the side of te triangle.

The side of an equilateral triangle is 3.5 cm. Find its perimeter.

MODERN PUBLICATION-HERON'S FORMULA-EXERCISE
  1. The sides of a triangle are in the ratio 3:5:7 and its perimeter is 60...

    Text Solution

    |

  2. The base of an isosceles triangle is 16cm and its area is 48 cm^2. The...

    Text Solution

    |

  3. Each of the equal sides of an isosceles triangle is 13 cm and its base...

    Text Solution

    |

  4. The area of an equilateral triangle is 81sqrt(3)cm^2. Its height is

    Text Solution

    |

  5. The lengths of each side of an equilateral triangle of area 4sqrt(3)cm...

    Text Solution

    |

  6. A sqaure and an equilateral triangle have equal perimeters. If the dia...

    Text Solution

    |

  7. An isosceles right triangle has area 8 cm^2. The length of its hypoten...

    Text Solution

    |

  8. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area...

    Text Solution

    |

  9. The length of each side of an equilateral triangle having an area of 9...

    Text Solution

    |

  10. If the area of an equilateral triangle is 16 sqrt3 cm^2, then the peri...

    Text Solution

    |

  11. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of ...

    Text Solution

    |

  12. The area of a trapezium of height 3 cm is 12 cm^2. If one of the paral...

    Text Solution

    |

  13. In the fig. fourth quadrant of a circle is OACB where O is the centre ...

    Text Solution

    |

  14. What is the hypotenuse in an isosceles right angled triangle is equal ...

    Text Solution

    |

  15. The area of a rhombus is 192 cm^2. The length of one diagonal is twice...

    Text Solution

    |

  16. The sides of a triangular field are 20m, 37 m and 51 m. Find the numbe...

    Text Solution

    |

  17. A parallelogram, the length of whose side are 60 cm and 25 cm has one ...

    Text Solution

    |

  18. From a point in the interior of an equilateral triangle, perpendicular...

    Text Solution

    |

  19. Find the area of a quadrilateral ABCD whose sides AB,BC, CD and DA are...

    Text Solution

    |

  20. A field in the form of a parallelogram has sides 60 m and 40 m and one...

    Text Solution

    |