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

D, E and F are respectively the mid-points of sides AB. BC and CA of`DeltaA B C` . Find the ratio of the areas of DDEF and`DeltaA B C` .

Text Solution

Verified by Experts

The correct Answer is:
`1:4`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)|15 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 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 .

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 .

E and F are respectively the mid-points of equal sides AB and AC of DeltaA B C (see Fig. 7.28). Show that BF = C E .

D,E and F are respectively the mid-points of the sides BC,CA and AB of a /_ABC. Show that (i) BDEF is a parallelogram

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

In DeltaA B C , D, E and F are respectively the mid-points of sides AB, BC and CA. Show that DeltaA B C is divided into four congruent triangles by joining D, E and F.

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a A B C . Determine the ratio of the areas of D E F and A B C .

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(triangleDEF)=1/4ar(triangleABC)

D, E and F are respectively the mid-points of the sides BC, CA and AB of aDeltaA B C . Show that (i) BDEF is a parallelogram. (ii) a r" "(D E F)=1/4a r" "(A B C) (iii) a r" "(B D E F)=1/2a r" "(A B C)

VK GLOBAL PUBLICATION-TRIANGLES-PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)
  1. A street light bulb is fixed on a pole 6 m above the level of the stre...

    Text Solution

    |

  2. In Fig.7.70, find angleE.

    Text Solution

    |

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

    Text Solution

    |

  4. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

    Text Solution

    |

  5. Prove that the sum of the squares of the sides of a rhombus is equa...

    Text Solution

    |

  6. In Fig. 3, ABC is a right triangle, right angled at C and D is the mi...

    Text Solution

    |

  7. In Fig, ABC is an isosceles triangle in which AB= AC.Eis a point on th...

    Text Solution

    |

  8. A D is an altitude of an equilateral triangle A B Cdot On A D as base,...

    Text Solution

    |

  9. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

    Text Solution

    |

  10. AB botBC and DE bot AC. Prove that DeltaABC ~ DeltaAED.

    Text Solution

    |

  11. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  12. E is a point on side A D produced of a parallelogram A B C D and...

    Text Solution

    |

  13. D and E are respectively the points on the sides AB and AC of a triang...

    Text Solution

    |

  14. If ABC is an equilateral triangle with each side a cm such that ADbotB...

    Text Solution

    |

  15. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

    Text Solution

    |

  16. If E is a point on side r:A of an equilateral triangle ABC such that B...

    Text Solution

    |

  17. O is any point inside a rectangle ABCD. Prove that O B^2+O D^2=O A^2+...

    Text Solution

    |

  18. In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angleACB. Prov...

    Text Solution

    |

  19. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

    Text Solution

    |

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

    Text Solution

    |