Home
Class 9
MATHS
In Figure D\ a n d\ E are two points ...

In Figure `D\ a n d\ E` are two points on `B C` such that `B D=D E=E Cdot` Show that `a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

In Figure, A B C D\ a n d\ A E F D are two parallelograms? Prove that: a r\ (\ A P E):\ a r\ (\ P F A)=\ a r\ \ (Q F D)\ : a r\ (\ P F D)

In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ ( B E D)=1/4a r\ ( A B C)

In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: P E=F Q

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (A D E G)=\ a r\ (G B C E)

In Figure, A B C D E\ is a pentagon. A line through B parallel to A C meets D C produced at F . Show that: (i) a r\ ( A C B)=a r\ ( A C F) (ii) a r\ (A E D F)=a r\ (A B C D E)

D and E are points on sides AB and AC respectively of Delta A B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E||B C .

D and E are points on sides AB and AC respectively of DeltaA B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E\ ||\ B C .

In a parallelogram A B C D ,E ,F are any two points on the sides A B and B C respectively. Show that a r( /_\A D F)=a r( /_\D C E).

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respecti...

    Text Solution

    |

  2. In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respecti...

    Text Solution

    |

  3. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

    Text Solution

    |

  4. In Figure, A B C is a right triangle right angled at A ,\ B C E D ,...

    Text Solution

    |

  5. In Figure, A B C is a right triangle right angled at A ,\ B C E D ,...

    Text Solution

    |

  6. In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\...

    Text Solution

    |

  7. In figure, A B C is a right triangle right angled at A .\ B C E D ,\...

    Text Solution

    |

  8. In figure, A B C is a right triangle right angled at A .\ B C E D ,\...

    Text Solution

    |

  9. In figure, A B C is a right triangle right angled at A .\ B C E D ,\...

    Text Solution

    |

  10. In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\...

    Text Solution

    |

  11. In fig, ABC and BDE are two equilateral triangles such that D is the m...

    Text Solution

    |

  12. In Figure, A B C D is a rectangle in which C D=6c m ,\ A D=8c m. Fin...

    Text Solution

    |

  13. In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=...

    Text Solution

    |

  14. In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D...

    Text Solution

    |

  15. In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D...

    Text Solution

    |

  16. P Q R S is a rectangle inscribed in a quadrant of a circle of radiu...

    Text Solution

    |

  17. In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D r...

    Text Solution

    |

  18. A B C is a triangle in which D is the mid-point of B C ,\ E\ a n...

    Text Solution

    |

  19. P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A i...

    Text Solution

    |

  20. A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\...

    Text Solution

    |