Home
Class 10
MATHS
In Fig. 4.102 (i) and (ii) , if C D a...

In Fig. 4.102 (i) and (ii) , if `C D` and `G H` `(D\ a n d\ H` lie on `A B` and `F E` ) are respectively bisectors of `/_A C B` and `/_E G F` and ` A B C ~ F E G` , prove that (FIGURE) ` D C A ~ H G F` (ii) `(C D)/(G H)=(A C)/(F G)` (iii) ` D C B ~ H G E`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Figure, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (i) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors of /_B and /_C . Prove that E C B \ ~=\ F C B

CD and GH are respectively the bisectors of /_A C B and /_E G F such that D and H lie on sides AB and FE of DeltaA B C and DeltaE F G respectively. If DeltaA B C ~DeltaF E G , show that: (i) (C D)/(G H)=(A G)/(F G) (ii) ∆ DCB ~ ∆ HGE (iii) ∆ DCA ~ ∆ HGF

If Figure, arms B A\ a n d\ B C\ of /_A B C are respectively parallel to arms E D\ a n d\ E F of /_D E F . Prove that /_A B C=/_D E F .

In Figure, D E F G is a square and /_B A C=90 . Prove that (i) A G F ~ D B G (ii) A G F ~ E F C (iii) D B G ~ E F C (iv) D E^2=B D x E C

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)dot

In Figure, D E || A C and D F || A E . Prove that (E F)/(B F)=(E C)/(B E) .

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E

In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Prove that C F=1/4A C .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /1=/2 . Prove that P Q S...

    Text Solution

    |

  2. In Fig. 4.101, A D and C E are two altitudes of A B C . Prove t...

    Text Solution

    |

  3. In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B...

    Text Solution

    |

  4. In Figure, C D and G H are respectively the medians of A B C and E...

    Text Solution

    |

  5. In Figure, if B D|A C and C E|A B , prove that (i) /\A E C ~ /\A ...

    Text Solution

    |

  6. D is a point on the side B C of A B C such that /A D C=/B A C . Pr...

    Text Solution

    |

  7. In Fig. 4.106, considering triangles B E P and C P D , prove tha...

    Text Solution

    |

  8. P and Q are points on sides A B and A C respectively of A B C ....

    Text Solution

    |

  9. In Figure, express x in terms of a ,\ b and c.

    Text Solution

    |

  10. In Figure, /B A C=90dot and segment A D|B C . Prove that A D^2=B D...

    Text Solution

    |

  11. In /\ A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90do...

    Text Solution

    |

  12. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B an...

    Text Solution

    |

  13. In Figure, A B C D is a trapezium with AB||DC . If /\ A E D is simil...

    Text Solution

    |

  14. If E is a point on side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  15. In Figure, A B C is a right triangle right angled at B and D is the ...

    Text Solution

    |

  16. In Figure, A D and B E are respectively perpendiculars to B C and A ...

    Text Solution

    |

  17. In Fig. 4.124, E is a point on side C B produced of an isosceles...

    Text Solution

    |

  18. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

    Text Solution

    |

  19. In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /A=/C and /B...

    Text Solution

    |

  20. In Figure, D E F G is a square and /B A C=90 . Prove that (i) A G F...

    Text Solution

    |