Home
Class 10
MATHS
If /\ABC~/\DEF in which AX and DY are th...

If `/_\ABC~/_\DEF `in which AX and DY are the bisector of `/_A` and `/_D` respectively. If `AX=6.5 cm` and `DY =5.2 cm`, find the ratio of the areas of `/_\ ABC` and `/_\DEF`.

Text Solution

Verified by Experts

The correct Answer is:
`25:16`
Promotional Banner

Topper's Solved these Questions

  • ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|39 Videos
  • AREAS OF SIMILAR TRIANGLES

    KALYANI PUBLICATION|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

Area of /_\ABC=70cm^2 and CD=5cm . Find the area of the shaded region.

ABC is a triangle. D and E are two points on AB and AC respectively such that DE is parallel to BC and AD=1 cm , BD= 2cm . What is the ratio of the area of /_\ABC to the area /_\ADE .

If D,E,F are the mid-point of sides AB,BC and CA respectively of triangle then the ratio of the areas of triangles triangleDEF and ABC is

ABC a right angle triangle, right angled at B. AD and CE are the medians drawn from A and C respectively. If AC = 5 m and AD = (3sqrt5)/2 m , find the length of CE.

A line LM is drawn parallel to the base BC of /_\ ABC which meets side side AB and AC at L and M respectively. If AB=12 cm , AL=4 cm and AC= 18 cm , find (Area of /_\ALM )/(Area of /_\ ABC ).

The outer radius and the inner radius of a circular ring are respectively 25 cm and 24 cm.Find the area of the region which falls under the ring.

/_\ABC~/_\DEF and their areas are respectively 64 cm^2 and 169 cm^2 . If the length of BC=4 cm , find EF.

The area of a sector of a circle of radius 17.5 cm is 192.5 cm^2 . Find the central angle of the sector.

The height and the diameter of a cylinder are 6 cm and 14 cm respectively. Find the area of the whole surface.

Find the area of the sector of a circle with radius 5 cm and angle 30^@ . Also find the area of the corresponding major sector ( pi = 3.14 ).

KALYANI PUBLICATION-AREA OF SIMILAR TRIANGLES-EXERCISE
  1. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 121 cm^2. If ...

    Text Solution

    |

  2. ABC is a triangle. D and E are two points on AB and AC respectively su...

    Text Solution

    |

  3. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 169 cm^2. If ...

    Text Solution

    |

  4. If triangle ABCis similar to triangleDEF such that BC = 4 cm, EF = 5 c...

    Text Solution

    |

  5. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

    Text Solution

    |

  6. ABC is a triangle. D and E are two points on AB and AC respectively su...

    Text Solution

    |

  7. A line DE is parallel to the base BC of /\ABC which meets side AB and ...

    Text Solution

    |

  8. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

    Text Solution

    |

  9. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

    Text Solution

    |

  10. ABC is a triangle of area 256 cm^2. XY is drawn parallel to BC meeting...

    Text Solution

    |

  11. Prove that the areas of two similar triangles are in the ratio of the ...

    Text Solution

    |

  12. Prove that the areas of two similar triangles are in the ratio of the ...

    Text Solution

    |

  13. Prove that the areas of two similar triangles are in the ratio of the ...

    Text Solution

    |

  14. If the areas of a similar triangle are equal,prove that they are congr...

    Text Solution

    |

  15. The areas of two similar triangles are 81 cm^2 and 49 cm^2 respectivel...

    Text Solution

    |

  16. The areas of two similar triangles are 121 cm^2 and 64 cm^2 respective...

    Text Solution

    |

  17. If /\ABC~/\DEF in which AX and DY are the bisector of /A and /D respe...

    Text Solution

    |

  18. Prove that area of the equilateral triangle described on the side of ...

    Text Solution

    |

  19. ABCD is a trapezium in which AB||DC and AB= 2DC. Determine the ratio o...

    Text Solution

    |

  20. In a trapezium ABCD, O is the point of intersection of AC and BD, AB||...

    Text Solution

    |