Home
Class 10
MATHS
DeltaABC and DeltaBDE are two equilatera...

`DeltaABC` and `DeltaBDE` are two equilateral triangles. If `D` is the mid-point of `BC`, then the ratio of the areas of `DeltaABC` and `DeltaBDE` is

A

`2:1`

B

`1:2`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.1|32 Videos
  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos
  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

E is the mid-point of the medium AD of the DeltaABC . Prove that DeltaBED=1/4DeltaABC .

ABC is an equilateral triangle. D and E are the mid-points of AB and AC. Then angleADE=

If E be the mid-point of the median AD of DeltaABC , then prove that DeltaBED=1/4DeltaABC .

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 .

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

The side of a square is a and each of the sides of an equilateral triangle is a. Then the ratio of their areas is

If DeltaABC is an equlateral triangle and a=BC is a rational number ,then Delta must be

DeltaABC and DeltaDBC are two isosceles triangles on thesame base BC (see figure). Show that /_ ABD = /_ ACD.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. In DeltaPQR and DeltaDEF,/Q=/E=42^(@), (PQ)/(DE)=(QR)/(EF) and if /F=6...

    Text Solution

    |

  2. In the right-angled triangles DeltaPQR and DeltaDEF, /Q=/E= right angl...

    Text Solution

    |

  3. DeltaABC and DeltaBDE are two equilateral triangles. If D is the mid-p...

    Text Solution

    |

  4. If the ratio of the sides of two similar triangles be 4:9, then ratio ...

    Text Solution

    |

  5. DeltaPQR~DeltaDEF and their areas are 49 sq-cm and 121 sq-cm respectiv...

    Text Solution

    |

  6. Write the following sentences true or false: Any two identical image a...

    Text Solution

    |

  7. C and B are two points on the straight line XY, P is an external point...

    Text Solution

    |

  8. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

    Text Solution

    |

  9. Fill the blank :All (equilateral/isosceles) triangle are always ident...

    Text Solution

    |

  10. state true or false; Two equiangular triangles are always congruent.

    Text Solution

    |

  11. state true or false; If the two sides of two triangles are in proport...

    Text Solution

    |

  12. If the areas of two similar triangles be equal, they are .

    Text Solution

    |

  13. The ratio of the areas of two similar triangels is equal to the of the...

    Text Solution

    |

  14. Prove that the perimeters of two similar triangles are proportional to...

    Text Solution

    |

  15. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

    Text Solution

    |

  16. Fill the blank :All circles are(uniform/identical)

    Text Solution

    |

  17. Fill the blank :All square are(uniform/identical)

    Text Solution

    |

  18. Write the following sentences true or false: Any two identical figure ...

    Text Solution

    |

  19. The diagonals of the quadrilateral ABCD intersect each other at O in s...

    Text Solution

    |

  20. In the figure beside is a point on the extended part of CB.DeltaABC is...

    Text Solution

    |