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

`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`

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/_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^@ .

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 .

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 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 B C , if A D_|_B C and A D^2=B DxxD C , prove that /_B A C=90dot .

A B C D is a rectangle with /_B A C=32^0dot Determine /_D B Cdot

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

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

In Figure, A B C is an isosceles triangle in which A B=A Cdot and C P||A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. In ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q...

    Text Solution

    |

  11. In Figure, X ,\ Y\ are two points on equal sides A B\ a n d\ A C o...

    Text Solution

    |

  12. Suppose line segments A B\ a n d\ C D intersect at O in such a way tha...

    Text Solution

    |

  13. If D is the mid-point of the hypotenuse A C of a right triangle A B...

    Text Solution

    |

  14. A B is a line segment and line l is its perpendicular bisector. If ...

    Text Solution

    |

  15. In quadrilateral A C B D ,\ A C=A D\ a n d\ A B\ bisects /A . Show th...

    Text Solution

    |

  16. Prove that A B C is isosceles if any one of the following holds: A...

    Text Solution

    |

  17. In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively...

    Text Solution

    |

  18. In Figure, P S=Q R\ a n d\ /S P Q=/R Q Pdot Prove that P Q S\ ~=\ Q...

    Text Solution

    |

  19. In right triangle A B C , right angle at C ,\ M is the mid-point of th...

    Text Solution

    |

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

    Text Solution

    |