Home
Class 9
MATHS
ABC and BDE are two equilateral triangle...



ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that :
ar(ABC) = 2ar(BEC)

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|83 Videos
  • CIRCLES

    MODERN PUBLICATION|Exercise EXERCISE|94 Videos

Similar Questions

Explore conceptually related problems

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(BDE) = 1/2 ar(BAE)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(BFE) = 2ar(FED)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(BFE) = ar(AFD)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(BDE) = 1/4 ar(ABC)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(FED) = 1/8 ar(AFC)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then ar (BDE)= 1/4 ar(ABC).

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

If ABC and BDE are two equilateral triangles such that D is the mid-point of BC, then find ar(triangleABC) : ar(triangleBDE)

In Fig. 9.24, ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O, show that ar(ABC) = ar (ABD).

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  2. In the figure. Show that ABCD is a parallelogram. Calculate the are...

    Text Solution

    |

  3. Find the area of a rhombus whose diagonals are of lengths 10 cm and 8....

    Text Solution

    |

  4. Calculate the area of trap. PQRS, given in the figure.

    Text Solution

    |

  5. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

    Text Solution

    |

  6. In a quad. ABCD it is given that BD = 16 cm. If AL bot BD and CM bot B...

    Text Solution

    |

  7. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  8. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  9. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  10. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  11. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  12. In fig. ABCD and AEFG are two parallelograms. If angleC=55^@ and deter...

    Text Solution

    |

  13. ABCD and AEFD are two parallelograms Prove that: ar(triangleAPE) : a...

    Text Solution

    |

  14. In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (Del...

    Text Solution

    |

  15. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  16. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  17. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  18. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  19. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

    Text Solution

    |

  20. PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

    Text Solution

    |

  21. Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Pr...

    Text Solution

    |