Home
Class 12
MATHS
If D, E and F be the middle points of th...

If D, E and F be the middle points of the sides BC,CA and AB of the `DeltaABC`, then `AD+BE+CF` is

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise (Comprehension)|34 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise (Matrix)|6 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise (Single)|80 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos
  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

If D,E and F are the mid-points of the sides BC, CA and AB respectively of a triangle ABC and lambda is scalar, such that vec(AD) + 2/3vec(BE)+1/3vec(CF)=lambdavec(AC) , then lambda is equal to

Let A, B, and C be the vertices of a triangle. Let D, E, and F be the midpoints of the sides BC, CA, and AB respectively. Show that vec(AD)+vec(BE)+vec(CF)=vec(0) .

If D and E, are the midpoints of the sides AB and AC of a triangle ABC, prove that vec(BE) +vec(DC)=(3)/(2)vec(BC).

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

In trigle ABC, the points D, E, F are the midpoints of the sides BC,CA, and AB respee. Tively. Using vector methed ,show that the area of Delta DEF is equal to (1)/(4) (area of ABC).

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

The altitudes from the angular points A,B, and C on the opposite sides BC, CA and AB of DeltaABC are 210, 195 and 182 respectively. Then the value of a is ____

A,B, and C are vertice of DeltaABC,D,E and F are mid point of side AB,BC and AC respectively. If the coordinates of A, D and F are (-3,5),(5,1) and (-5,-1) respectively. Find the coordinates of B,C and E.

If D is the midpoint of the side BC of a triangle ABC, prove that vec(AB)+vec(AC)=2vec(AD)

CENGAGE-PROPERTIES AND SOLUTIONS OF TRIANGLE-Exercise (Multiple)
  1. In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4, then angle B is equal...

    Text Solution

    |

  2. If in triangle ABC, a, c and angle A are given and c sin A lt a lt c, ...

    Text Solution

    |

  3. If area of A B C() and angle C are given and if the side c opposite t...

    Text Solution

    |

  4. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

    Text Solution

    |

  5. Sides of DeltaABC are in A.P. If a lt "min" {b,c}, then cos A may be e...

    Text Solution

    |

  6. If the angles of a triangle are 30^0a n d45^0 and the included side is...

    Text Solution

    |

  7. Lengths of the tangents from A,B and C to the incircle are in A.P., th...

    Text Solution

    |

  8. C F is the internal bisector of angle C of A B C , then C F is equal ...

    Text Solution

    |

  9. The incircle of DeltaABC touches side BC at D. The difference between ...

    Text Solution

    |

  10. A circle of radius 4 cm is inscribed in DeltaABC, which touches side B...

    Text Solution

    |

  11. If H is the orthocentre of triangle A B C ,R= circumradius andP=A H+B ...

    Text Solution

    |

  12. Let ABC be an isosceles triangle with base BC. If r is the radius of t...

    Text Solution

    |

  13. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

    Text Solution

    |

  14. The area of a regular polygon of n sides is (where r is inradius, R is...

    Text Solution

    |

  15. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

    Text Solution

    |

  16. If A is the area and 2s is the sum of the sides of a triangle, then (a...

    Text Solution

    |

  17. In A B C , internal angle bisector of /A meets side B C in DdotD E|A ...

    Text Solution

    |

  18. In triangle ABC, a = 4 and b = c = 2 sqrt(2). A point P moves within t...

    Text Solution

    |

  19. BC is the base of the DeltaABC is fixed and the vertex A moves, satisf...

    Text Solution

    |

  20. If D, E and F be the middle points of the sides BC,CA and AB of the De...

    Text Solution

    |