Home
Class 10
MATHS
In A B C and D E F , it is being gi...

In ` A B C` and ` D E F` , it is being given that: `A B=5c m ,\ \ B C=4c m` and `C A=4. 2 c m` ; `D E=10 c m` , `E F=8c m` and `F D=8. 4 c m` . If `A L_|_B C` and `D M_|_E F` , find `A L : D M` .

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

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

If /_\A B C and /_\D E F are similar triangles such that A B=3c m , B C=2c m C A=2. 5 c m and E F=4c m , find the perimeter of D E F .

Triangle ABC is such that A B=3c m , B C=2c m and C A=2. 5 c m . If D E F similar A B C and E F=4c m , then perimeter of D E F is

In Figure, D E || B C in /_\ A B C such that B C=8c m , A B=6c m and D A=1. 5 c m . Find D E .

If ΔA B C ∼ ΔD E F such that A B=5c m , area (Δ A B C)=20\ c m^2 and area (Δ D E F)=45\ c m^2 , determine D E .

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 .

Construct a quadrilateral A B C D in which A B=4. 4\ c m ,\ B C=4c m ,\ C D=6. 4 c m ,\ D A=3. 8 c m\ a n d\ B D=6. 6 c mdot

Construct a quadrilateral A B C D , given that A B=8c m ,\ B C=8c m ,\ C D=10 c m ,\ A D=10 c m\ a n d\ /_A=45^0dot

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 the adjacent figure, if A B=12 c m ,\ \ B C=8c m and A C=10 c m , then A D= (a) 5cm (b) 4cm (c) 6cm (d) 7cm

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.143, /A=/C E D , prove that C A B∼ C E D . Also, fi...

    Text Solution

    |

  2. The perimeters of two similar triangles are 25cm and 15cm respectiv...

    Text Solution

    |

  3. In A B C and D E F , it is being given that: A B=5c m ,\ \ B C=4c...

    Text Solution

    |

  4. D and E are the points on the sides A B and A C respectively of a tria...

    Text Solution

    |

  5. In A B C , A L and C M are the perpendiculars from the vertices A a...

    Text Solution

    |

  6. In Fig. 4.144, we have A B∥ CD∥ EF . If A B=6c m , C D=x\ c m , E F...

    Text Solution

    |

  7. In Fig. 4.145, if A B|B C , D C|B C and D E|A C , prove that C E ...

    Text Solution

    |

  8. In an isosceles triangle A B C, where CA = CB the base A B is produce...

    Text Solution

    |

  9. Diagonals A C and B D of a trapezium A BC D with A B, D C intersect ...

    Text Solution

    |

  10. If A B C and A M P are two right triangles, right angled at B and ...

    Text Solution

    |

  11. A vertical stick of length 6m casts a shadow 4m long on the ground a...

    Text Solution

    |

  12. In Fig. A B C is right angled at C and D E|A B . Prove that A...

    Text Solution

    |

  13. If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

    Text Solution

    |

  14. In two similar triangles A B C and P Q R , if their corresponding ...

    Text Solution

    |

  15. If ΔA B C ∼ ΔD E F such that area of ΔA B C is 9\ c m^2 and the ...

    Text Solution

    |

  16. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

    Text Solution

    |

  17. Prove that the area of the equilateral triangle described on the si...

    Text Solution

    |

  18. In Fig. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2...

    Text Solution

    |

  19. D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B resp...

    Text Solution

    |

  20. D and E are points on the sides A B and A C respectively of a A...

    Text Solution

    |