Home
Class 10
MATHS
In Fig. 4.101, A D and C E are two ...

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` (iii) ` A E F ~ A D B` (iv) ` F D C ~ B E C` (FIGURE)

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Figure, B D and C E are two altitudes of a A B C such that B D=C Edot Prove that A B C is isosceles. Figure

In Fig. 4.128, D E F G is a square and /_B A C=90o . Prove that A G F D B G (ii) A G F E F C (FIGURE) (iii) D B G E F C (iv) D E^2=B DxxE C

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

In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: P E=F Q

In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prove that a r( A D E)=a r( B C F)

In Fig. 4.103, 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 (FIGURE) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

If in two triangles A B C and D E F , (A B)/(D E)=(B C)/(F E)=(C A)/(F D) , then F D E C A B (b) F D E A B C (c) C B A F D E (d) B C A F D E

In Figure, it is given that A B=C F , E F=B D a n d /_A F E= /_C B Ddot Prove that A F E= ~= C B D

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)

RD SHARMA-TRIANGLES-All Questions
  1. In Fig. 4.99, if /P=/R T S , prove that R P Q ~ R T S . (FIGUR...

    Text Solution

    |

  2. In the given Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /1=/2 . Prove t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. In Fig. 4.103, C D and G H are respectively the medians of A B ...

    Text Solution

    |

  6. In Fig. 4.104, if B D|A C and C E|A B , prove that (FIGURE) A E...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. In Fig. 4.109, express x in terms of a ,\ b and c . (FIGURE)

    Text Solution

    |

  11. In Fig. 4.112, /B A C=90o and segment A D|B C . Prove that A ...

    Text Solution

    |

  12. In A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90o .

    Text Solution

    |

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

    Text Solution

    |

  14. In Fig. 4.116, A B C D is a trapezium with A B D C . If A E D ...

    Text Solution

    |

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

    Text Solution

    |

  16. In Fig. 4.121, A B C is a right triangle right angled at B and D...

    Text Solution

    |

  17. In Fig. 4.122, A D and B E are respectively perpendiculars to B ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |