Home
Class 9
MATHS
A D and B E are respectively altitudes o...

`A D` and `B E` are respectively altitudes of an isosceles triangle `A B C` with `A C=B C` . Prove that `A E=B Ddot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, A D\ a n d\ B E are respectively altitudes of an isosceles triangle A B C with A C=B Cdot Prove that A E=B D

In an isosceles triangle A B C with A B=A C and B D_|_A Cdot Prove that B D^2-C D^2=2C DdotA Ddot

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

D and E are points on equal sides A B and A C of an isosceles triangle A B C such that A D=A E . Prove that B ,C ,D ,E are concylic.

B D\ a n d\ C E are bisectors of /_B\ a n d\ /_C of an isosceles A B C with A B=A C . Prove that B D=C E

B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

In Figure, D ,E and F are, respectively the mid-points of sides B C ,C A and A B of an equilateral triangle A B C . Prove that D E F is also an equilateral triangle.

In Figure, D ,E and F are, respectively the mid-points of sides B C ,C A and A B of an equilateral triangle A B C . Prove that D E F is also an equilateral triangle.

In a rectangle A B C D , prove that A C B~= C A Ddot

If D is any point on the base B C produced, of an isosceles triangle A B C , prove that A D > A B .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, /Q P R=/P Q R and M and N are respectively on side...

    Text Solution

    |

  2. In Figure, line segment A B is parallel to another line segment C D ...

    Text Solution

    |

  3. A D and B E are respectively altitudes of an isosceles triangle A B...

    Text Solution

    |

  4. P Q R is a triangle in which P Q=P R and S is any point on the side P ...

    Text Solution

    |

  5. If the bisector of the exterior vertical angle of a triangle be par...

    Text Solution

    |

  6. Prove that Two right triangles are congruent if the hypotenuse and o...

    Text Solution

    |

  7. AD, BE and CF , the altitudes of triangle ABC are eq...

    Text Solution

    |

  8. A point O is taken inside an equilateral four sided figure A B C D suc...

    Text Solution

    |

  9. In Delta P Q R , if P Q=Q R and L ,M and N are the mid...

    Text Solution

    |

  10. If two isosceles triangles have a common base, prove that the line ...

    Text Solution

    |

  11. Side Side Side(SSS) Congruence : Two triangles are congruent if the th...

    Text Solution

    |

  12. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |

  13. In a A B C , it is given that A B=A C and the bisectors of /B a...

    Text Solution

    |

  14. A B C is a triangle in which /B =2 /CdotD is a point on B C s...

    Text Solution

    |

  15. In A B C ,\ /A=100^0a n d\ A B=A Cdot Find /B\ a n d\ /C

    Text Solution

    |

  16. In Figure, A B=A C\ a n d\ /A C D=120^0dot Find /A

    Text Solution

    |

  17. Prove that measure of each angle of an equilateral triangle is 60^0...

    Text Solution

    |

  18. In Figure O is the mid-point of A B\ a n d\ C Ddot Prove that \ A O C...

    Text Solution

    |

  19. In Figure, it is given that A B=C F ,\ E F=B D\ a n d\ /A F E=\ /C B...

    Text Solution

    |

  20. In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A...

    Text Solution

    |