Home
Class 10
MATHS
In a /\ A B C , A D is the bisector of...

In a `/_\ A B C` , `A D` is the bisector of `/_A` , meeting side `B C` at `D` . `(i) If B D=2. 5 c m ,\ \ A B=5c m` and `A C=4. 2 c m` , find `D C` . `(ii) If B D=2c m ,\ \ A B=5c m` and `D C=3c m ,` find `A C` . `(iii) If A B=3. 5 c m` , `A C=4. 2 c m` and `D C=2. 8 c m` , find `B D` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A D=5. 6 c m , B C=6c m and B D=3. 2 c m , find A C . (ii) If A B=10 c m , A C=6c m and B C=12 c m , find B D and D C .

In a /_\ A B C , A D is the bisector of /_A , meeting side B C at D . (i) If AB=10 cm , AC=14 cm and BC=6cm , find B D and D C (ii) If A C=4. 2 c m , D C=6c m and B C=10 c m , find A B . (iii) If A B=5. 6 c m , A C=6c m and D C=3c m , find B C .

In A B C , the bisector of /_A intersects B C in D . If A B=18 c m , A C=15 c m and B C=22 c m , find B D

In the figure given below D E || B C . If A D=2. 4 c m , D B=3. 6 c m and A C=5c m , Find A E .

In Figure, /_C A B=90 and A D_|_B C . If A C=75 c m , A B=1m and B D=1. 25 m find A D .

In Fig. 4.140, /_A B C=90o and B D_|_A C . If A B=5. 7 c m , B D=3. 8\ c m and C D=5. 4 c m , find B C . (FIGURE)

In a A B C , D and E are points on the sides A B and A C respectively such that D E// B C If A D=2\ c m , A B=6\ c m and A C=9\ c m , find A E . .

In Figure if /_A D E=/_B show that A D E ~ A B C . If A D=3. 8 c m , A E=3. 6 c m , B E=2. 1 c m and B C=4. 2 c m , find D E .

In a A B C , A D is the bisector of /_B A C . If A B=6c m , A C=5c m and B D=3c m , then D C= 11. 3 c m (b) 2. 5 c m (c) 3:5c m (d) None of these

In a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c m

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In triangle A B C , if A D is the bisector of /A , prove that: (A...

    Text Solution

    |

  2. B O and C O are respectively the bisectors of /B and /C of A B C ....

    Text Solution

    |

  3. In a /\ A B C , A D is the bisector of /A , meeting side B C at D ...

    Text Solution

    |

  4. In a /\ A B C , A D is the bisector of /A , meeting side B C at D ...

    Text Solution

    |

  5. In a A B C , A D is the bisector of /A , meeting side B C at D ...

    Text Solution

    |

  6. In Fig. 4.57, A E is the bisector of the exterior /C A D meeting...

    Text Solution

    |

  7. In Fig. 4.58, A B C is a triangle such that (A B)/(A C)=(B D)/(...

    Text Solution

    |

  8. In /\ A B C (Figure), if /1=/2 , prove that (A B)/(A C)=(B D)/(D C...

    Text Solution

    |

  9. D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...

    Text Solution

    |

  10. In Fig. 4.60, check whether A D is the bisector of /A of A B C in...

    Text Solution

    |

  11. In given figure, check whether AD is the bisector of ∠ A of △ ABC in e...

    Text Solution

    |

  12. In Fig. , A D bisects /A ,\ \ A B=12 c m ,\ \ A C=20 c m and B D=5c...

    Text Solution

    |

  13. In Fig. A B||D C . Find the value of x

    Text Solution

    |

  14. In Fig. if A B||C D , find the value of x .

    Text Solution

    |

  15. In Figure, if A B || C D find the value of x.

    Text Solution

    |

  16. In Fig. A B||C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O D=4 , ...

    Text Solution

    |

  17. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  18. In Fig. 4.87, find /F . (FIGURE)

    Text Solution

    |

  19. In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 ...

    Text Solution

    |

  20. In Fig. 4.89, if E D C ~ E B A ,\ \ /B E C=115o and /E D C=70o . F...

    Text Solution

    |