Home
Class 10
MATHS
In an equilateral Triangle ABC,D is a po...

In an equilateral Triangle ABC,D is a point on side BC such that `BD=1/3BC`. Prove that `9AD^2=7AB^2`.

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    BEYOND PUBLICATION|Exercise EXERCISE|143 Videos

  • SETS

    BEYOND PUBLICATION|Exercise EXERCISE|247 Videos

  • STATISTICS

    BEYOND PUBLICATION|Exercise EXERCISE|141 Videos

Similar Questions

Explore conceptually related problems

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In an equilateral triangle ABC, AD bot BC meeting BC in D then AD^2 =…………..

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .

D is a midpoint on side BC of /_\ABC such that AD=AC then______ ( )

In a triangle ABC, AD is the median drawn on the side BC is produced to E such that AD = ED prove that ABEC is a parallelogram.

In the given figure, ABC is a Triangle right angled at B.D and E are points on BC trisect it. Prove that 8AE^2=3AC^2+5AD^2 .

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that AE^2+CD^2=AC^2+DE^2 .

BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. In an equilateral Triangle ABC,D is a point on side BC such that BD=1/...

    Text Solution

    |

  2. In triangle ABC, DE||BC and AD = 1/3 BD. If BC = 4.5cm, Find DE.

    Text Solution

    |

  3. In the adjacent figure triangle AHK ~ triangle ABC. If AK = 10cm, BC ...

    Text Solution

    |

  4. In the adjacent figures, S and T are points on the sides PQ and PR res...

    Text Solution

    |

  5. In the adjacent figure, (OA)/(OC) = (OD)/(BC). Prove that angle A = a...

    Text Solution

    |

  6. In the adjacent figure, if triangle PQS ~triangle ROQ, prove that PS||...

    Text Solution

    |

  7. In the adjacent figure, QA and PB are perpendiculars to AB. IF AO= 10c...

    Text Solution

    |

  8. In the adjacent figure DE||BC and (AD)/(DB) = 3/5. If AC = 4.8cm, f...

    Text Solution

    |

  9. P and Q are points on sides AB and AC respectively of triangle ABC. I...

    Text Solution

    |

  10. Prove that if the area of two similar triangles are equal, then they a...

    Text Solution

    |

  11. In the trapezium ABCD,AB||CD and AB = 2CD. If the area of triangle AOB...

    Text Solution

    |

  12. D,E,F are the mid points of the sides BC, CA and AB respectively of a ...

    Text Solution

    |

  13. If two triangles are equiangular, prove that the ratio of the correspo...

    Text Solution

    |

  14. If two traingles are equilatangular prove that the ratio of the corres...

    Text Solution

    |

  15. In the adjacent figure, triangle ABC and triangle DBC are on the same ...

    Text Solution

    |

  16. The areas of two similar triangles ABC and PQR are in the ratio 9 : 16...

    Text Solution

    |

  17. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  18. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  19. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  20. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  21. Two poles of heights 23m and 30m stand on the plane ground. If the dis...

    Text Solution

    |