Home
Class 10
MATHS
A B C and B D E are two equilateral t...

` A B C` and `B D E` are two equilateral triangles such that `D` is the mid-point of `B C` . The ratio of the areas of the triangles `A B C` and `B D E` is `2:1` (b) `1:2` (c) `4:1` (d) `1:4`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Tick the correct answer and justify: ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is (A) 2:1 (B) 1:2 (C) 4:1 (D) 1:4

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ ( B D E)=1/2a r\ ( B A E)

If D,E and F are the mid-points of the sides of a /_ABC, the ratio of the areas of the triangles DEF and DCE is (a) 1.1:1 (b) 1:1.1 (c) 1:1 (d) 0.9:1

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r( B D E)=1/4a r\ (\ A B C)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ B F E)=\ a r\ (\ A F D)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ F E D)=1/8a r\ (\ A F C)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ B F E)=\ 2\ a r\ (E F D)

A B C D is a square. E is the mid-point of B C and F is the mid-point of C D . The ratio of the area of triangle A E F to the area of the square A B C D is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 3 : 8

(a,b),(c,d),(e,f) are the vertices of an equilateral triangle.Then the orthocenter of the triangle is

The ratio of the areas of the incircle and circumcircle of an equilateral triangle is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 1 : 9

RD SHARMA-TRIANGLES-All Questions
  1. The areas of two similar triangles are in respectively 9\ c m^2 and...

    Text Solution

    |

  2. The areas of two similar triangles A B C and D E F are 144\ c m^2...

    Text Solution

    |

  3. A B C and B D E are two equilateral triangles such that D is the ...

    Text Solution

    |

  4. Two isosceles triangles have equal angles and their areas are in th...

    Text Solution

    |

  5. If A B C and D E F are similar such that 2\ A B=D E and B C=8c m ...

    Text Solution

    |

  6. If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/...

    Text Solution

    |

  7. A B C is such that A B=3c m , B C=2c m and C A=2. 5 c m . If D...

    Text Solution

    |

  8. X Y is drawn parallel to the base B C of a A B C cutting A B at X ...

    Text Solution

    |

  9. Two poles of height 6m and 11m stand vertically upright on a plane ...

    Text Solution

    |

  10. In A B C , a line X Y parallel to B C cuts A B at X and A C at Y ....

    Text Solution

    |

  11. In A B C , D and E are points on side A B and A C respectively ...

    Text Solution

    |

  12. In triangles A B C and D E F , /A=/E=40o , A B : E D=A C : E F and ...

    Text Solution

    |

  13. If A B C and D E F are similar triangles such that /A=47o and /E=83...

    Text Solution

    |

  14. If D ,\ E and F are the mid-points of the sides of a A B C , the r...

    Text Solution

    |

  15. In a A B C , /A=90o , A B=5c m and A C=12 c m . If A D|B C , then A D...

    Text Solution

    |

  16. In an equilateral triangle A B C , if A D|B C , then 2\ A B^2=3\ A ...

    Text Solution

    |

  17. If A B C is an equilateral triangle such that A D|B C , then A D^2...

    Text Solution

    |

  18. In a A B C , perpendicular A D from A on B C meets B C at D . If B...

    Text Solution

    |

  19. In a A B C , point D is on side A B and point E is on side A C , such...

    Text Solution

    |

  20. In a A B C , A D is the bisector of /B A C . If A B=6c m , A C=5c ...

    Text Solution

    |