Home
Class 10
MATHS
In A B C , the bisector of /A inters...

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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|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 B=10 c m , A C=14 c m and B C=6c m , 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 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 . 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 .

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

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

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 parallelogram A B C D ,\ the bisector of /_A also bisects B C at Xdot Find A B : A D

In Fig.20, A B C D is a parallelogram, D L_|_A B and D M_|_B Cdot If A B=18\ c m , B C=12\ c m and D M=9. 3\ c m , find D Ldot

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=5c m , A C=10 c m , B D=1. 5 c m and C D=3. 5 c m (ii) A B=4c m , A C=6c m , B D=1. 6 c m and C D=2. 4 c m (iii) A B=8c m , A C=24 c m , B D=6c m and B C=24 c m

In fig. 15 A B C D is a parallelogram C M_|_A B and B L_|_A Ddot If \ A B=16\ c m ,\ A D=12\ c m , C M=10\ c m ,\ find \ B L\ If \ A D=10 c m ,\ C M=8c m ,\ B L=12\ c m ,\ find A B .

RD SHARMA-TRIANGLES-All Questions
  1. In A B C , P and Q are points on sides A B and A C respectively ...

    Text Solution

    |

  2. In Fig. 4.227, A M B C M D ; determine M D in terms of x ,\ y...

    Text Solution

    |

  3. In A B C , the bisector of /A intersects B C in D . If A B=18 c m ...

    Text Solution

    |

  4. In Fig. 4.228, l m (FIGURE) Name three pairs of similar triangl...

    Text Solution

    |

  5. In Fig. 4.229, A B D C Prove that (FIGURE) D M U B M V (ii) ...

    Text Solution

    |

  6. A B C D is a trapezium in which A B D C . P and Q are points on...

    Text Solution

    |

  7. In A B C ,\ D and E are points on sides A B and A C respectively ...

    Text Solution

    |

  8. A B C D is a trapezium having A B D C . Prove that O , the poin...

    Text Solution

    |

  9. Corresponding sides of two triangles are in the ratio 2\ :3 . If th...

    Text Solution

    |

  10. The areas of two similar triangles are 36\ c m^2 and 100\ c m^2 . I...

    Text Solution

    |

  11. Corresponding sides of two similar triangles are in the ratio 1:3 ....

    Text Solution

    |

  12. In Fig. 4.230, each of P A ,\ Q B ,\ R C and S D is perpendicula...

    Text Solution

    |

  13. In A B C , ray A D bisects /A and intersects B C in D . If B C=a , ...

    Text Solution

    |

  14. In each of the figures given below, an altitude is drawn to the hyp...

    Text Solution

    |

  15. There is a staircase as shown in Fig. 4.232, connecting points A an...

    Text Solution

    |

  16. In A B C ,\ \ /A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

    Text Solution

    |

  17. In A B C , /C is an obtuse angle. A D|B C and A B^2=A C^2+3\ B C^2...

    Text Solution

    |

  18. A point D is on the side B C of an equilateral triangle A B C su...

    Text Solution

    |

  19. In A B C , if B D|A C and B C^2=2\ A C C D , then prove that A B=...

    Text Solution

    |

  20. In a quadrilateral A B C D , given that /A+/D=90o . Prove tha...

    Text Solution

    |