Home
Class 14
MATHS
ABC is an equilateral triangle with side...

ABC is an equilateral triangle with side 12cm and AD is the median. Find the length of GD if G is the centroid of `triangle ABC`.
ABC एक समबाहु त्रिभुज है जिसके भुजा 12cm और AD मध्यिका है। GD की लंबाई ज्ञात करें यदि G,`triangle ABC` का केन्द्रक है।

A

`3 sqrt3 cm`

B

`6 sqrt3 cm`

C

`4 sqrt3 cm`

D

`2 sqrt3 cm`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2019 TIER-II PAPER (2)

    CHAMPION PUBLICATION|Exercise EXERCISE|99 Videos

Similar Questions

Explore conceptually related problems

If ABC is an equilateral triangle with each side a cm such that ADbotBC , then find AD^(2) .

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If the area of triangle ABC is 136 cm^2 , then the area of triangle BDE is equal to: ABC और BDE दो समबाहु त्रिभुज हैं जेसे D, BC का मध्य-बिंदु है। यदि त्रिभुज ABC का क्षेत्रफल 136 cm^2 , है, तो त्रिभुज BDE का क्षेत्रफल ज्ञात करे

ABC is an equilateral triangle. P,Q and R are the midpoints of sides AB, BC and CA respectively. If the length of the side of the triangle ABC is 8 cm, then the area of triangle PQR is: ABC एक समबाहु त्रिभुज है | P, Q और R क्रमशः भुजाओं AB, BC तथा CA के मध्य बिंदु हैं | यदि त्रिभुज ABC की भुजा की लंबाई 8 सेमी है, तो त्रिभुज PQR का क्षेत्रफल कितना होगा ?

triangle ABC is an isosceles triangle with AB = AC=13 cm. AD is the median on BC from A such that AD= 12 cm. The length of BC is equal to: triangle ABC में, AB = AC = 13 सेमी के साथ एक सममद्विबाहु त्रिभुज है। AD, A से BC पर माध्यिका इस प्रकार है की AD = 12 सेमी। BC की लंबाई है:

triangle ABC is an equilateral triangle and AD bot BC , where D lies in BC. If AD= 4 sqrt3 cm, then what is the perimeter (in cm) of triangle ABC ? त्रिभुज ABC एक समबाह त्रिभुज है तथा AD bot BC है, जहाँ D, BC पर स्थित है | यदि AD= 4 sqrt3 सेमी है, तो त्रिभुज ABC का परिमाप ( सेमी में) कितना होगा ?

If the height of an equilateral triangle is 12 cm, then what is the area of the triangle? यदि एक समबाह त्रिभुज की ऊंचाई 12 सेमी है, तो त्रिभुज का क्षेत्रफल कितना है?

In triangle XYZ , if G is the centroid and XL is the median with length 18 cm, then the length of XG is: XYZ में, यदि G केन्द्रक है और XL, 18 सेमी लंबाई वाला माध्यिका है, फिर XG की लंबाई है:

CHAMPION PUBLICATION-2019 TIER-II PAPER(3)-EXERCISE
  1. If sintheta+sin^(2)theta=1, then find the value of cos^(2)theta+cos^(4...

    Text Solution

    |

  2. An umbrella is marked for ₹ 150 and sold for ₹ 138. The rate of discou...

    Text Solution

    |

  3. ABC is an equilateral triangle with side 12cm and AD is the median. Fi...

    Text Solution

    |

  4. If (cos^2 theta)/(cot^2 theta-cos^2 theta)=3, 0^@< theta<90^@, then th...

    Text Solution

    |

  5. In a two-digit number, its units digit exceeds its tens digit by 2 and...

    Text Solution

    |

  6. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals ...

    Text Solution

    |

  7. On selling 38 balls at ₹ 2,240, there is a loss equal to the cost pric...

    Text Solution

    |

  8. A,B,C subscribe a sum of Rs.75,500 for a business. A subscribes Rs.3,5...

    Text Solution

    |

  9. The least number which when divided by 16, 18, 20 and 25 leaves 4 a...

    Text Solution

    |

  10. The length of the shadow of the vertical tower on level ground increas...

    Text Solution

    |

  11. The ratio of the height and the diameter of a right circular cone is 6...

    Text Solution

    |

  12. A conical tent has to accommodate 25 persons. Each person must have 4 ...

    Text Solution

    |

  13. A and B together can do a piece of work in 12 days. A alone can do it ...

    Text Solution

    |

  14. If cos theta =5/13, then the value of tan^2 theta +sec^2 theta is equa...

    Text Solution

    |

  15. The price of a variety of a commodity is ₹ 7/kg and that of another i...

    Text Solution

    |

  16. If x+16/x=8, then the value of x^2+32/x^2 is: यदि x+16/x=8,तोx^2+32/...

    Text Solution

    |

  17. Evaluate the following / मान ज्ञात करे 5-[96 div 4 of 3-(16-55 div 5)...

    Text Solution

    |

  18. In a triangle ABC, D is a point on BC such that (AB)/(AC)=(BD)/(DC). ...

    Text Solution

    |

  19. The value of (1)/(15)+(1)/(35)+(1)/(63)+(1)/(99)+(1)/(143) is

    Text Solution

    |

  20. If alpha+beta=90^@, and alpha=2 beta, then the value of 3 cos^2 alpha-...

    Text Solution

    |