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

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`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.4)|9 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.5)|17 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.2)|9 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 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: (CD)/(GH) =(AC)/(FG)

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

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0 (ii) OE+OF+DO=OA+OB+OC

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

In the given figure, diagonals AC and BD of quadrilateral ABCD interset at O such that OB = OD. If AB = CD, then show that : (i) ar (DOC) = ar (AOB) (ii) ar (DCB) = ar (ACB) (iii) DA || CB or ABCD is a parallelogram .

In Fig. ABD is a triangle right angled at A and AC bot BD show that (i) AB^(2) =BC . BD , (ii) AC^(2) = BC . DC , (iii) AD^(2) = BD . CD

ZEN PUBLICATION-TRIANGLES-TEXTUAL EXERCISES (EXERCISE 2.3)
  1. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  2. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  3. State which pairs of triangles in Fig are similar. Write the similarit...

    Text Solution

    |

  4. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  5. In the figure DeltaODC~DeltaOBA,lfloorBOC=125^(@)andlfloorCDO=70^(@). ...

    Text Solution

    |

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

    Text Solution

    |

  7. In the figure altitudes AD and CE of DeltaABC intersect each other at ...

    Text Solution

    |

  8. E is a point on the side AD produced, of a parallelogram ABCD and BE i...

    Text Solution

    |

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

    Text Solution

    |

  10. CD and GH are respectively the bisectors of lfloorACBandlfloorEGF such...

    Text Solution

    |

  11. In the figure, E is a point on side CB produced, of an isosceles trian...

    Text Solution

    |

  12. Sides AB and BC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  13. D is a point on the side BC of a triangle ABC such that lfloorADC=lflo...

    Text Solution

    |

  14. Sides AB and BC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  15. A vertical pole of length 6 m casts a shadow 4 m long on the ground an...

    Text Solution

    |

  16. If AD and PM are median of triangles ABC and PQR respectively where De...

    Text Solution

    |