Home
Class 10
MATHS
D, E and F are respectively the mid poin...

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

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

D,E and F are respectively the mid-points of sides AB.BC and CA of /_ABC. Find the ratio of the areas of /_DEF and /_ABC .

If D,E and F are respectively the midpoints of the sides BC,CA and AB of an equilateral triangle ABC ,prove that /_DEF is also an equilateral triangle.

If D,E and F are respectively,the mid-points of AB,AC and BC in Delta ABC, then BE+AF is equal to

If D(2,1,0) ,E(2,0,0) and F(0,1,0) are mid points of the sides BC,CA and AB of triangle ABC respectively, then the centroid of triangle ABC is

In Delta ABC, D, E, F are respectively the mid points of the sides AB, BC and AC. Find ratio of the area of Delta DEF and area of Delta ABC .

If D, E and F are the mid-points of the sides of an equilateral triangle ABC, then the ratio of the area of triangle DEF and DCF is :

D, E and F are the mid-points of the sides BC, CA and AB of a triangle ABC. Show that BDEF is a parallelogram

ABC is a triangle in which D, E and F are the mid-points of the sides AC, BC and AB respectively. What is the ratio of the area of the shaded to the unshaded region in the triangle?

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. Two right triangles ABC and DBC are drawn on the same hypotenuse BC an...

    Text Solution

    |

  2. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  3. In the given figure, if angle ACB = angle CDA, AC = 8 cm and AD = 3 cm...

    Text Solution

    |

  4. A 15 metres high tower coasts a shadow 24 metres long at a certain tim...

    Text Solution

    |

  5. If P and Q are the points on side CA and CB, respectively of triangle ...

    Text Solution

    |

  6. If the area of two similar triangles are equal, prove that they are co...

    Text Solution

    |

  7. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  8. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  9. D, E and F are respectively the mid points of the sides AB, AC and BC ...

    Text Solution

    |

  10. A flag pole 18 m high casts a shadow 9.6m long. Find the distance of t...

    Text Solution

    |

  11. If a line is drawn parallel to one side of a triangle to intersect oth...

    Text Solution

    |

  12. In the given figure, if PQRS is a parallelogram and AB||PS, then prove...

    Text Solution

    |

  13. triangle ABC figure, AD bot BC. Prove that AC^2 = AB^2 + BC^2 - 2BC xx...

    Text Solution

    |

  14. Prove that in a right angle triangle, the square of the hypotenuse is ...

    Text Solution

    |

  15. For going to city B from city A, there is a route via city C such that...

    Text Solution

    |

  16. In triangle PQR, PD bot QR such that D lies on QR. If PQ = a, PR = b, ...

    Text Solution

    |

  17. In an equilateral triangle ABC, D is a point on side BC such that BD =...

    Text Solution

    |

  18. In the given figure,l||m and line segments AB, CD and EF are concurren...

    Text Solution

    |

  19. In the given figure, PA, QB, RC and SD are all perpendiculars to a lin...

    Text Solution

    |

  20. Prove that the area of the semicircle drawn on the hypotenuse of a rig...

    Text Solution

    |