Home
Class 10
MATHS
In figure E is a point on side CB produ...

In figure E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If `A D_|_B C`and`E F_|_A C`, prove that`DeltaA B D DeltaE C F`.

Text Solution

Verified by Experts

The correct Answer is:
`DeltaABD~DeltaECF`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.4|9 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.5|21 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.2|12 Videos

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) A B D E C F (ii) A BxxE F=A DxxE C . (FIGURE)

In the given figure, E is a point on side CB produced of an isosceles Delta ABC with AB=AC. . If AD bot BC and EF bot AC , prove tha Delta ABD~ Delta ECF

The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively . Prove that BD = DC.

D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD=AE .Prove that B,C,D,E are concylic.

D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD=AE. Prove that B,C,D,E are concylic.

The incircle of an isosceles triangle ABC , with AB=AC , touches the sides AB , BC , CA at D,E and F respectively. Prove that E bisects BC .

The incircle of an isoceles triangle ABC, with AB=AC, touches the sides AB,BC and CA at D,E and F respecrively. Prove that E bisects BC.

In figure, O is a point in the interior of a triangle ABC, O D_|_B C ,O E_|_A C and O F_|_A B . Show that (i) O A^2+O B^2+O C^2-O D^2-O E^2-O F^2=A F^2+B D^2+C E^2 (ii) A F^2+B D^2+C E^2=A W^2+C D^2+B F^2

In Figure, it is given that A B=E F ,B C=D E ,A B_|_B D and F E_|_C Edot Prove that A B D~=F E Cdot Figure

MTG IIT JEE FOUNDATION-TRIANGLES -NCERT Section Exercise 6.3
  1. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  2. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  3. In the figure , DeltaODC~DeltaOBA,angleBOC=125^(@)and angleCDO=70^(@)...

    Text Solution

    |

  4. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each ...

    Text Solution

    |

  5. In the given figure, (QR)/(QS)= (QT)/(PR) and angle1 = angle2 then pro...

    Text Solution

    |

  6. In the given figure, S and T are points on sides PR and QR of Delta PQ...

    Text Solution

    |

  7. In the figure ,if DeltaABE~=DeltaACD , Show that DeltaADE~DeltaABC .

    Text Solution

    |

  8. In the figure , altitudes AD and CE of DeltaABC intersect each other...

    Text Solution

    |

  9. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  10. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  11. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

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

    Text Solution

    |

  13. In figure ABC and AMP are two right triangles, right angles at B an...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /A C Band /E G Fsuch tha...

    Text Solution

    |

  15. In figure E is a point on side CB produced of an isosceles triangle A...

    Text Solution

    |

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

    Text Solution

    |

  17. In the given figure , D is a point on the side BC of Delta ABC such th...

    Text Solution

    |

  18. Sides AB and AC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |