Home
Class 14
MATHS
In an equilateral triangle ABC, the side...

In an equilateral triangle ABC, the side BC is trisected at D. Find the value of `AD^(2)` :

A

`(9)/(7)AB^(2)`

B

`(7)/(9)AB^(2)`

C

`(3)/(4)AB^(2)`

D

`(4)/(5)AB^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.3|28 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.4|10 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.1|45 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos

  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

In an equilateral triangle ABC the side BC is trisected at D. Prove that 9AD^(2)=7AB^(2)

In an equilateral triangle ABC, the side BC is trisected at D. Then the correct relation is

In an equilateral triangle ABC of side 10cm, the side BC is trisected at D. Then the length (in cm) of AD is

DeltaABC is an equilateral triangle. D divides BC in the ratio 1 : 2. Then find the value of 7AB^(2) -

ABCD is a square. Draw an equilateral triangle PBC on side BC considering BC is a base and an equilateral triangle QAC on diagonal AC considering AC is a base. Find the value of ("Area of " Delta PBC)/("Area of " Delta QAC) .

The side AB of an equilateral triangle ABC is produced to D such that BD=2AC the value of (CD^(2))/(AB^(2))is

In an equilateral triangle ABC, If ADbotBC, B-D-C and AB = 12 cm, then the value of AD is

Let ABC be an equilateral triangle. If the side BC is produced to the point D so that BC = 2CD, then AD^(2) is equal to

ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. A man goes 150 m due east and then 200 m due north. How far is he from...

    Text Solution

    |

  2. From a point O in the interior of a DeltaABC perpendiculars OD, OE and...

    Text Solution

    |

  3. In an equilateral triangle ABC, the side BC is trisected at D. Find th...

    Text Solution

    |

  4. A B C is a triangle in which /A=90o,\ \ A N|B C ,\ \ B C=12 c m and...

    Text Solution

    |

  5. A vertical stick 15 cm long casts it shodow 10 cm long on the gound. A...

    Text Solution

    |

  6. Vertical angles of two isoceles triangles are equal. Then correspondin...

    Text Solution

    |

  7. In the figure DeltaABC~DeltaPQ. If BC=8cm, PQ=4cm, AP=2.8cm, find CA :

    Text Solution

    |

  8. In the figure BC||AD. Find the value of x :

    Text Solution

    |

  9. Delta ABC is an equilateral triangle of side 2a units. Find each of i...

    Text Solution

    |

  10. In figure AD is the bisector of angleBAC. If BD = 2 cm, CD = 3 cm and ...

    Text Solution

    |

  11. In the figure AB||QR. Find the length of PB:

    Text Solution

    |

  12. In the figure QA and PB are perpendicular to AB. If AO = 10 cm, BO = 6...

    Text Solution

    |

  13. In the given figure AB = 12, AC = 15 cm and AD = 6 cm. BC||DE, find th...

    Text Solution

    |

  14. In the figure, ABC is a triangle in which AB = AC. A circle through B ...

    Text Solution

    |

  15. In figure, ABC is a right triangle, right angled at B. AD and CE are t...

    Text Solution

    |

  16. In a triangle ABC,AB = 10 cm, BC = 12 cm and AC = 14 cm. Find the leng...

    Text Solution

    |

  17. triangle ABC is a right angled at A and AD is the altitude to BC. If A...

    Text Solution

    |

  18. Area of DeltaABC=30cm^(2). D and E are the mid - points of BC and AB r...

    Text Solution

    |

  19. The three sides of a triangles are given which one of the following is...

    Text Solution

    |

  20. In the figure AD is the external bisector of angleEAC, intersects BC p...

    Text Solution

    |