Home
Class 10
MATHS
GD and GH are respectively the bisectors...

GD and GH are respectively the bisectors of `angleACB and angleEGF` such that D and H lie on sides AB and FE of `DeltaABC and and DeltaEFG` respectively. If `DeltaABC~DeltaFEG` , show that:
`(CD)/(GH) =(AC)/(FG)`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.4|7 Videos

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.4 (Tick the correct answer and justify) :|2 Videos

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.2|12 Videos

  • SURFACE AREAS AND VOLUMES

    SUBHASH PUBLICATION|Exercise EXERCISE 15.5|4 Videos

Similar Questions

Explore conceptually related problems

GD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of DeltaABC and and DeltaEFG respectively. If DeltaABC~DeltaFEG , show that: DeltaDCA~DeltHGF

GD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of DeltaABC and and DeltaEFG respectively. If DeltaABC~DeltaFEG , show that: DeltaDCB ~DeltaHGE

CD and GH are respectively the bisectors of lfloorACBandlfloorEGF such that D and H lie on sidea AB and FE of DeltaABCandDeltaEFG respectively. If DeltaABC~DeltaFEG , show that. i] (CD)/(GH)=(AC)/(FG) ii] DeltaCDB~DeltaHGE iii] DeltaDCA~DeltaHGF

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

D,Eand F are respectively the mid - points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF and DeltaABC.

In adjacent figure, sides AB and AC of DeltaABC are extended to points P and Q respectively. Also, /_PBC AB.

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Show that angleA lt angleC and angleB gt angleD .

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

In the given figure sides AB and AC of triangleABC , are extended to point P and Q respectively. Also anglePBC lt angleQCB . Show that AC gt AB .

SUBHASH PUBLICATION-TRIANGLES -EXERCISE 2.3
  1. Diagonals AC and BD of a trapezium ABCD with AB|| DC intersect each ot...

    Text Solution

    |

  2. In Fig (QR)/(QS)=(QT)/(PR)= and angle1 = angle2. show that DeltaPQS ~D...

    Text Solution

    |

  3. S and T are points on sides PR and QR of DeltaPQR such that angleP = a...

    Text Solution

    |

  4. In Fig , if DeltaABE angleDeltaACD , show that DeltaADE ~ DeltaABC

    Text Solution

    |

  5. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  6. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  7. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  8. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  9. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  10. In Fig , ABC and AMP are two right triangles, right angled at B and M...

    Text Solution

    |

  11. In Fig , ABC and AMP are two right triangles, right angled at B and M...

    Text Solution

    |

  12. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  13. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  14. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  15. In Fig E is a point on side CB produced of an isosceles triangle ABC ...

    Text Solution

    |

  16. sides AB and BC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

  17. D is a point on the side BC of a triangle ABC such that angleADC=angl...

    Text Solution

    |

  18. side AB and AC and median AD od a triangle ABC are respectively propor...

    Text Solution

    |

  19. A verticle pole of height 6m casts a shadow 4m long on the ground, and...

    Text Solution

    |

  20. If Adand PM are medians of triangles ABC and PQR, respectively where D...

    Text Solution

    |