Home
Class 10
MATHS
D ,\ E and F are the points on sides ...

`D ,\ E` and `F` are the points on sides `B C ,\ C A` and `A B` respectively of ` A B C` such that `A D` bisects `/_A ,\ \ B E` bisects `/_B` and `C F` bisects `/_C` . If `A B=5c m ,\ \ B C=8c m` and `C A=4c m` , determine `A F ,\ C E` and `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 Fig. , A D bisects /_A ,\ \ A B=12 c m ,\ \ A C=20 c m and B D=5c m , determine C D

If D ,E and F are three points on the sides B C ,CA and A B , respectively, of a triangle A B C show that the (B D)/(C D)=(C E)/(A E)=(A F)/(B F)=-1

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

D and E are the points on the sides A B and A C respectively of a triangle A B C such that: A D=8c m ,\ \ D B=12 c m ,\ \ A E=6c m and C E=9c m . Prove that B C=5//2\ D E .

In A B C ,\ D and E are points on sides A B and A C respectively such that A DxxE C=A ExxD B . Prove that D E B C .

D ,\ E ,\ F are the mid-point of the sides B C ,\ C A\ a n d\ A B respectively of /_\ A B C . Then D E F is congruent to triangle. (a)A B C (b) AEF (c) B F D ,\ C D E (d) A F E ,\ B F D ,\ C D E

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

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 a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a n d\ A B respectively. If a r( A B C)=16 c m^2, then a r\ (t r a p e z i u m\ F B C E)= 4\ c m^2 (b) 8\ c m^2 (c) 12 c m^2 (d) 10 c m^2

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=6\ c m , D B=9\ c m and A E=8\ c m , find A C .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.58, A B C is a triangle such that (A B)/(A C)=(B D)/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

  15. In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE...

    Text Solution

    |

  16. In Fig. 4.90, if P S|| Q R , prove that P O S ~ R O Q . (FIGURE...

    Text Solution

    |

  17. In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 ...

    Text Solution

    |

  18. In Figure, /C A B=90 and A D|B C . If A C=75 c m , A B=1m and B D=1. 2...

    Text Solution

    |

  19. The perimeters of two similar triangles A B C and P Q R are resp...

    Text Solution

    |

  20. In Figure if /A D E=/B show that A D E ~ A B C . If A D=3. 8 c m ,...

    Text Solution

    |