Home
Class 9
MATHS
A B C is a triangle in which /B=2/C. D i...

`A B C` is a triangle in which `/_B=2/_C. D` is a point on `B C` such that `A D` bisects `/_B A C\ a n d\ A B=C D`. Prove that `/_B A C=72^@`.

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

A B C is a triangle in which /_B =2 /_CdotD is a point on B C such that A D bisects /_B A C and A B=C D . Prove that /_B A C=72^0dot

In Figure, A B C is a triangle in which /_B=2/_C . D is a point on side B C such that A D bisects /_B A C\ a n d\ A B=C D. B P is the bisector of /_B . The measure of /_B A C is (a) 72^0 (b) 73^0 (c) 74^0 (d) 96^0

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

In Figure, A E bisects /_C A D\ a n d\ /_B=/_Cdot Prove that A E||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,

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

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 .

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

A B C is a triangle. D is a point on A B such that AD=1/4A B\ a n d\ E is a point on A C such that A E=1/4A C . Prove that D E=1/4B C

In Figure A B D C\ a n d\ A D B Cdot Prove that /_D A B=\ /_D C B

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. Prove that each angle of an equilateral triangle is 60^0

    Text Solution

    |

  2. Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prov...

    Text Solution

    |

  3. A B C is a triangle in which /B=2/C. D is a point on B C such that A D...

    Text Solution

    |

  4. A B C is a right angled triangle in which /A=90^0a n d\ A B=A Cdot ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A B C\ a n d\ D B C are two isosceles triangles on the same bas B ...

    Text Solution

    |

  9. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

    Text Solution

    |

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

    Text Solution

    |

  11. In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C ar...

    Text Solution

    |

  12. In Figure, A D=B C\ a n d\ B D=C A. Prove that ∠A D B= ∠B C A a n d ∠D...

    Text Solution

    |

  13. In Figure, A B=A C ,\ D is the point in the interior of A B C such ...

    Text Solution

    |

  14. In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that ...

    Text Solution

    |

  15. In A P Q R , if P Q=QR\ a n d\ L ,\ M\ a n d\ N are the mid-points of...

    Text Solution

    |

  16. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

    Text Solution

    |

  17. In Figure, it is given that L M=M N ,\ Q M=M R ,\ M L\ |P Q\ a n d\...

    Text Solution

    |

  18. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

    Text Solution

    |

  19. P is a point equidistant from two lines l and m intersecting at poi...

    Text Solution

    |

  20. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

    Text Solution

    |