Home
Class 10
MATHS
ABC and BDE are two equilateral triangle...

ABC and BDE are two equilateral triangles such that D is the mid-point of BC.Ratio of the areas of triangle ABC and BDE is
a)`2:1` b)`1:2` c)`4:1` d)`1:4`

A

`2:1`

B

`1:2`

C

`4:1`

D

`1:4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos
  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

triangleABC and triangleDEF are two equilateral triangle such that D is the mid point of BC.The ratio of the areas of triangle ABC and BDE is

D is the mid point of BC show that tan theta/tan phi =1/2 . .

ABC is equilateral triangle and D,E are middle points of sides AB and AC then length of DE is

ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

In an equilateral triangle ABC, D is a point on side BC such that BD =1/3BC.Prove that 9AD^2=7AB^2

Find the area of the triangle ABC with A(1,-4) and the midpoints of the sides through A being (2,-1) and (0,-1).

If D,E,F are the mid-point of sides AB,BC and CA respectively of triangle then the ratio of the areas of triangles triangleDEF and ABC is

∆ABC is a right angled at B and D is mid-point of BC. Prove that AC^2 = 4AD^2 - 3AB^2 .

If D is the middle point of the side BC of the triangle ABC, prove that AB^2 + AC^2 = 2(AD^2 + DC^2) .

If A,B and C are interior angle of a triangle ABC ,then the value of cos((B+C)/2)

R G PUBLICATION-TRIANGLES-EXERCISE
  1. Prove that the ratio of the areas of two similar triangle is equal to ...

    Text Solution

    |

  2. Prove that the area of an equilateral triangle described on one side o...

    Text Solution

    |

  3. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  4. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

    Text Solution

    |

  5. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  6. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  7. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  8. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  9. PQR is a triangle right angled at P and M is a point on QR such that P...

    Text Solution

    |

  10. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |

  11. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |

  12. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |

  13. ABC is an isosceles triangle right angled at C.Prove thatAB^2=2AC^2.

    Text Solution

    |

  14. ABC is an isosceles triangle with AC=BC.If AB^2=2AC^2.prove that ABC i...

    Text Solution

    |

  15. ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

    Text Solution

    |

  16. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  17. In Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC...

    Text Solution

    |

  18. Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC an...

    Text Solution

    |

  19. A ladder 10 m long reaches a window 8m above the ground. Find the dist...

    Text Solution

    |

  20. A guy wire attached to a vertical pole of heigh 18 m is 24 m long and ...

    Text Solution

    |