Home
Class 9
MATHS
In Figure, A B C is a triangle in which ...

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 DdotB E` is the bisector of `/_B` . The measure of `/_B A C` is
(a) `72^0`
(b) `73^0`
(c) `74^0`
(d) `96^0`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

If A B C D is a rectangle with /_B A C=32^0, find the measure of /_D B C

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

If A B C D is a rhombus with /_A B C=56^0, find the measure of /_A C D

In Figure,the measure of /_B'A'C' is 50^(@)(b)60^(0)(c)70^(0)(d)80^(0)

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

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In Figure, A B C D is a trapezium in which A B||D C ,\ \ D C is produced to E such that C E=A B , prove that a r( A B D)=a r\ ( B C E)dot Construction: Draw D M\ on B A produced and B N_|_D C

A B C is an isosceles triangle such that A B=A C a n d A D is the median to base B C . Then, /_B A D= 55^0 (b) 70^0 (c) 35^0 (d) 110^0

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. If A N C~= L K M , then side of L K M equal to side A C\ of A B C ...

    Text Solution

    |

  2. If A B C\ ~= A C B , then A B C is isosceles with A B=A C (b) A B=B...

    Text Solution

    |

  3. If A B C~= P Q R and A B C is not congruent to R P Q , then which o...

    Text Solution

    |

  4. In triangles A B C\ a n d\ P Q R three equality relations between so...

    Text Solution

    |

  5. In triangles A B C\ a n d\ P Q R , if /A=/R ,\ /B=/P\ a n d\ A B=R P ,...

    Text Solution

    |

  6. If P Q R\ ~= E F D , then E D= PQ (b) QR (c) PR (d) None of these

    Text Solution

    |

  7. If P Q R\ ~= E F D , then /E= /P (b) /Q (c) /R (d) None of ...

    Text Solution

    |

  8. In a A B C , if A B=A C\ a n d\ B C is produced to D such that /A C D...

    Text Solution

    |

  9. In an isosceles triangle, if the vertex angle is twice the sum of th...

    Text Solution

    |

  10. D ,\ E ,\ F are the mid-point of the sides B C ,\ C A\ a n d\ A B re...

    Text Solution

    |

  11. Which of the following is not a criterion for congruence of triangle...

    Text Solution

    |

  12. In Figure, the measure of /B^(prime)A^(prime)C ' is (a) 50^@ (b) 60...

    Text Solution

    |

  13. If A B C and DEF are two triangles such that A B C\ ~= F D E\ a n d...

    Text Solution

    |

  14. In Figure, AB|BE and FE |BE.If BC=DE and AB=EF , then ABD is congruen...

    Text Solution

    |

  15. ABC is an isosceles triangle such that AB=AC and AD is the median to b...

    Text Solution

    |

  16. In Figure, if A E||D C and A B=A C , the value of /A B D is (a)70^@ ...

    Text Solution

    |

  17. In Figure, A B C is an isosceles triangle whose side A C is produced...

    Text Solution

    |

  18. In Figure, X is a point in the interior of square A B C Ddot\ \ A X ...

    Text Solution

    |

  19. In Figure, A B C is a triangle in which /B=2/C . D is a point on side ...

    Text Solution

    |

  20. In Figure, if A C is bisector fo /B A D such that A B=3\ c m\ a n d\ A...

    Text Solution

    |