Home
Class 10
MATHS
D,E and F are the mid points of the side...

D,E and F are the mid points of the sides BC, CA and AB respectivley of f`triangle ABC` then the ratio of the areas of `triangle DEF` and ABC =………..

A

`1 : 9`

B

`2 : 1`

C

`1 : 2`

D

`1 : 4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    BEYOND PUBLICATION|Exercise EXERCISE|143 Videos

  • SETS

    BEYOND PUBLICATION|Exercise EXERCISE|247 Videos

  • STATISTICS

    BEYOND PUBLICATION|Exercise EXERCISE|141 Videos

Similar Questions

Explore conceptually related problems

D,E,F are the mid points of the sides BC, CA and AB respectively of a triangle ABC . Determine the ratio of the areas of triangle DEF and triangle ABC .

D, E and F are the middle points of the sides of the triangle ABC, then

In the below given figure P and Q are points on the sides AB and AC respectively of triangle ABC such that AQ = 3cm, QC= 5cm and PQ ||BC . Find the ratio of areas traingle APQ and triangle ABC .

Vertices of a triangle ABC are A (3,5) B(7,4) and C (10,8). The mid point of the side BC, CA and AB are D,E and F respectively. Are the centroids of triangle ABC and d triangle DEF are same or not?

If the mid points of the sides BC, CA and AB of a triangle ABC are respectively (2,1) (-01,-2)and (3,3) then the equation of the side BC is

P, Q, R are the midpoints of the sides AB, BC and CA of the triangle ABC and O is a point within the triangle, then OA + OB + OC =

Ratio of area of the incircle to the area of triangle ABC

If (2,1,3), (3,2,5),(1,2,4) are the mid points of the sides BC,CA,AB, of Delta ABC respectively, then the vertex A is

BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. IF the diagonals in a quadrilateral divide each other proportionally t...

    Text Solution

    |

  2. In the figure, DE//AB and FE//DB thenDC^2= ……………….

    Text Solution

    |

  3. D,E and F are the mid points of the sides BC, CA and AB respectivley o...

    Text Solution

    |

  4. In the figure (PS)/(SQ)=(PT)/(TR) and anglePST=anglePRQ then DeltaPQR ...

    Text Solution

    |

  5. Side of a rhombus is 4 cm then its perimeter is…………….cm.

    Text Solution

    |

  6. In the figure, x=……………

    Text Solution

    |

  7. Two sides of a right triangle are 3cm and 4cm then the third side is …...

    Text Solution

    |

  8. triangle ABC ~ triangle PQR, AB : PQ = 3 : 4 then area triangle ABC : ...

    Text Solution

    |

  9. IF 8^2+15^2=k^2 then k=…………..

    Text Solution

    |

  10. The angles of a triangle arc in the ratio 1:2:3 then the largest angle...

    Text Solution

    |

  11. Straight angle means………..

    Text Solution

    |

  12. In the figure, PQ // MN, KP/PM=4/13 and KN=20.4 cm then KQ=…………………cm

    Text Solution

    |

  13. In the figure DE // BC if AD=x,AE=x+2,DB=x-2 and CE=x-1 then x=……………….

    Text Solution

    |

  14. If triangle ABC ~ triangle DEF if DE : AB = 2 : 3 and area of triangle...

    Text Solution

    |

  15. In the adjacent figure, PS and RQ are perpendicular to PQ. If PO = 15 ...

    Text Solution

    |

  16. The perimeters of two similar triangle are 30 cm and 20 cm respectivel...

    Text Solution

    |

  17. The areas of two similar triangle are 81cm^2 and 49cm^2 respectively. ...

    Text Solution

    |

  18. ABC is an isosceles triangle right angled at C. Prove that AB^2=2AC^2.

    Text Solution

    |

  19. The diagonal AC of a parallelogram ABCD intersects DP at the point Q,...

    Text Solution

    |

  20. In the following figure, DE//BC then x =

    Text Solution

    |