Home
Class 10
MATHS
In Fig. 4.178, D E∥ B C (FIGURE) (i) ...

In Fig. 4.178, `D E∥ B C` (FIGURE) (i) If `D E=4c m` , `B C=6c m` and Area `( A D E)=16\ c m^2` , find the area of ` A B C` . (ii) If `D E=4c m ,` `B C=8c m` and Area `( A D E)=25\ c m^2` , find the area of ` A B C` . (iii) If `D E : B C=3:5` . Calculate the ratio of the areas of ` A D E` and the trapezium `B C E 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 B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

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

Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 , area ( D E F)=64\ c m^2 and D E=6. 2 c m , find A Bdot (ii) If A B=1. 2 c m and D E=1. 4 c m , find the ratio of the areas of A B C and D E F .

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 .

If Delta A B C ~ Delta D E F such that B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)=

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 .

Triangles A B C and D E F are similar. If area ( A B C)=16\ c m^2 , area ( D E F)=25\ c m^2 and B C=2. 3 c m , find E Fdot (ii) If area ( A B C)=9\ c m^2 , area ( D E F)=64\ c m^2 and D E=5. 1 c m , find A Bdot (iii) If A C=19 c m and D F=8c m , find the ratio of the area of two triangles.

Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c m ,C D=12 c m ,D A=15 cm and A C=9 cm

In the adjoining figure, D E is parallel to B C and A D=1c m , B D=2c m . What is the ratio of the area of /_\ A B C to the area of /_\ A D E ?

Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c m ,C D=12 c m ,D A=15 c ma n dA C=9c m

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. The corresponding altitudes of two similar triangles are 6 cm and 9...

    Text Solution

    |

  2. A B C is a triangle in which /A=90^o,\ \ A N|B C ,\ \ B C=12 c m and...

    Text Solution

    |

  3. In Fig. 4.178, D E∥ B C (FIGURE) (i) If D E=4c m , B C=6c m and Are...

    Text Solution

    |

  4. In A B C ,\ D and E are the mid-points of A B and A C respectively...

    Text Solution

    |

  5. In Figure, /\ A B C and /\ D B C are on the same base B C . If A D a...

    Text Solution

    |

  6. A B C D is a trapezium in which AB is parallel to CD . The diagona...

    Text Solution

    |

  7. In A B C , P divides the side A B such that A P : P B=1:2 . Q is a ...

    Text Solution

    |

  8. The areas of two similar triangles are 100\ c m^2 and 49\ c m^2 res...

    Text Solution

    |

  9. The areas of two similar triangles are 121\ c m^2 and 64\ c m^2 res...

    Text Solution

    |

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

    Text Solution

    |

  11. In A B C , P Q is a line segment intersecting A B at P and A C at ...

    Text Solution

    |

  12. The areas of two similar triangles A B C and P Q R are in the ra...

    Text Solution

    |

  13. A B C is a triangle and P Q is a straight line meeting A B in P an...

    Text Solution

    |

  14. If D is a point on the side A B of /\ A B C such that A D : D B=3:2 ...

    Text Solution

    |

  15. In Figure, A B C is an obtuse triangle, obtuse angled at B . If A D...

    Text Solution

    |

  16. In Figure, /B of A B C is an acute angle and A D|B C , prove that...

    Text Solution

    |

  17. A right triangle has hypotenuse of length p\ c m and one side of...

    Text Solution

    |

  18. The sides of certain triangles are given below. Determine which of t...

    Text Solution

    |

  19. A man goes 10m due east and then 24 m due north. Find the distance ...

    Text Solution

    |

  20. A ladder is placed in such a way that its foot is at a distance of ...

    Text Solution

    |