Home
Class 9
MATHS
A triangle A B C is an isosceles tria...

A triangle `A B C` is an isosceles triangle if any one of the following conditions hold: Altitude `A D` bisects `/_B A C` Bisector of `/_B A C` is perpendicular to the base `B C`

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

A triangle A B C is an isosceles triangle if any one of the following conditions hold: (a) Altitude A D bisects /_B A C (b) Bisector of /_B A C is perpendicular to the base B Cdot

A triangle A B C is an isosceles triangle if any one of the following conditions hold: Bisector of /_B A C is perpendicular to the base B C

Prove that A B C is isosceles if any one of the following holds: A l t i t u d e\ AD bisects B C Median A D is perpendicular to the base B C

If A B C is an isosceles triangle and D is a point on B C such that A D_|_B C then,

If DeltaA B C is an isosceles triangle such that A B=A C ,\ then altitude A D from A on B C bisects B C (Fig.43).

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CXC D . Prove that B D=B C .

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CxC Ddot Prove that B D=B C

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

In an isosceles triangle A B C , if A B=A C=13 cm and the altitude from A on B C is 5 cm, find B C .

In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n d\ C E are two medians of the triangle. Prove that B D=C E

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, B M\ a n d\ D N are both perpendiculars to the segments A...

    Text Solution

    |

  2. In a right angled triangle, one acute angle is double the other. Pr...

    Text Solution

    |

  3. A triangle A B C is an isosceles triangle if any one of the followi...

    Text Solution

    |

  4. A triangle A B C is an isosceles triangle if any one of the followi...

    Text Solution

    |

  5. In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A...

    Text Solution

    |

  6. In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n ...

    Text Solution

    |

  7. In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D...

    Text Solution

    |

  8. In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

    Text Solution

    |

  9. In Figure, P S=P R ,\ \ /T P S=\ /Q P Rdot Prove that P T=P Q

    Text Solution

    |

  10. In Figure, If P Q=P T\ a n d\ /T P S=/Q P R , prove that \ P R S is is...

    Text Solution

    |

  11. In Figure, A B C\ a n d\ D B C are two isosceles triangles on the s...

    Text Solution

    |

  12. In Figure, A B C\ a n d\ D B C are two triangles on the same base...

    Text Solution

    |

  13. In Figure, B D and C E are two altitudes of a A B C such that B D=C...

    Text Solution

    |

  14. In Figure, /Q P R=\ /P Q R\ a n d\ M\ a n d\ N are respectively on ...

    Text Solution

    |

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

    Text Solution

    |

  16. In Figure, A D\ a n d\ B E are respectively altitudes of an isoscel...

    Text Solution

    |

  17. In Figure, line segments A B is parallel to another line segment C...

    Text Solution

    |

  18. In Figure, line segments A B is parallel to another line segment...

    Text Solution

    |

  19. In two right triangles one side an acute angle of one are equal to ...

    Text Solution

    |

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

    Text Solution

    |