Home
Class 9
MATHS
In Fig ., D and E are two points on BC...

In Fig ., D and E are two points on BC such that BD = DE = EC . Show that ar (ABD) = ar (ADE) = ar (AEC).

Can you now answer the question that you have left in the introduction of this chapter , whether the field of Budhia has been actually divided into three parts of equal area ?

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS |20 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise EXERCISE 9.3|21 Videos
  • CIRCLES

    SWAN PUBLICATION|Exercise Objective Type Questions (Fill in the Blanks :)|10 Videos

Similar Questions

Explore conceptually related problems

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

In triangleABC , if L and M are the points on AB AC, respectivley such that LM||BC. Prove that ar(LOB) = ar(MOC)

In fig. D and E are points on side BC of triangleABC such that BD=CE and AD=AE. Show that triangleABDequivtriangleACE

D and E are points on sides AB and AC respectively of DeltaABC such that ar (DBC) = ar (EBC). Prove that DE II BC .

AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

In Fig, ABCand DBC are lwo triangles on the same base BC. If AD intersects BC at O,show that (ar (ABC))/(ar (DBC))=(AO)/(DO) .

ABCD, DCFE and ABFE are parallelograms. Show that ar(ADE) = ar(BCF)

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)

SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.4
  1. Parallelogram ABCD and rectangle ABEF are on the same base AB and have...

    Text Solution

    |

  2. In Fig ., D and E are two points on BC such that BD = DE = EC . Sh...

    Text Solution

    |

  3. ABCD, DCFE and ABFE are parallelograms. Show that ar(ADE) = ar(BCF)

    Text Solution

    |

  4. ABCD is a parallelogram and BC is produced to a point Q such that AD =...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. In Fig ., ABC and BDE are two equilateral triangles such that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Diagonals AC and BD of quadrilateral ABCD intersect each other at P. S...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  16. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  17. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  18. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  19. ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squ...

    Text Solution

    |

  20. ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squ...

    Text Solution

    |