Home
Class 10
MATHS
The bisector of angleC and angleGof two ...

The bisector of `angleC and angleG`of two similar triangle ABC and EFG are meet the side AB and EF respectively at the point D and H.Prove that`triangleDCA~triangleHGE`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos
  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC,D and E are points on the sides AB and AC such that angleAED=angleC . Prove that triangleADE~triangleABC

If Fig. 6.3 ,ABC and AMP are two right triangles right angled at B and M respectively.Prove that :(i) triangleABC~triangleAMP

ABC is equilateral triangle and D,E are middle points of sides AB and AC then length of DE is

CD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of triangleABC and triangleFEG respectively. If triangleABC~triangleFEG .show that:(ii) triangleDCB~triangleHGE

CD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of triangleABC and triangleFEG respectively. If triangleABC~triangleFEG .show that:(iii) triangleDCA~triangleHGF

CD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of triangleABC and triangleFEG respectively. If triangleABC~triangleFEG .show that:(i) (CD)/(GH)=(AC)/(FG)

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C.Prove that, AE^2+BD^2=AB^2+DE^2 .

The right bisector of AB and AC of the triangle ABC intersect at 0. Prove that OA = OB = OC .

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR.Show that triangleABC~trianglePQR .

If the incircle of the triangle ABC touches the sides AB,BC,CA at P,Q and R respectively,then show that: AP+BQ+CR= 1/2 perimeter of triangleABC

R G PUBLICATION-TRIANGLES-EXERCISE
  1. The bisector of angleC and angleGof two similar triangle ABC and EFG a...

    Text Solution

    |

  2. All circles are . (congruent, similar)

    Text Solution

    |

  3. All squares are -. (Similar, congruent)

    Text Solution

    |

  4. All triangles are similar. (isosceles, equilateral)

    Text Solution

    |

  5. Two polygons of the same number of sides are similar, if(a) their corr...

    Text Solution

    |

  6. Two polygons of the same number of sides are similar, if(b) their corr...

    Text Solution

    |

  7. Give two different examples of pair of(i) similar figures

    Text Solution

    |

  8. Give two different examples of pair of((ii) non-simiIar figures

    Text Solution

    |

  9. State whether foIIowing quadrilaterals are similar or not:

    Text Solution

    |

  10. In fig(i) ,DE||BC.Find EC in (i).

    Text Solution

    |

  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

    Text Solution

    |

  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

    Text Solution

    |

  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

    Text Solution

    |

  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

    Text Solution

    |

  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

    Text Solution

    |

  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

    Text Solution

    |

  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

    Text Solution

    |