Home
Class 9
MATHS
In Figure, A B C is a right triangle r...

In Figure, `A B C` is a right triangle right angled at `A ,\ B C E D ,\ A C F G\ a n d\ A M N` are square on the sides `B C ,\ C A\ a n d\ A B` respectively. Line segment `A X\ _|_D E` meets `B C` at `Ydot` Show that: `a r(C Y X E)=a r\ (A C F G)`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ A M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: a r\ (C Y X E)=2a r(\ F C B)

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ A M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: \ F C B~=\ A C E

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ A M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: a r\ (B Y X D)=2\ a r\ (\ M B C)

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ A M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: a r\ (B Y X D)=a r\ (A B M N)

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segment A X_|_D E meets BC at Y. Show that: (i) DeltaM B C~=DeltaA B D (ii) a r" "(B Y X D)" "=" "2" "

In Figure, triangle A B C is right-angled at Bdot Give that A B=9C M ,\ A C=15 C M ,\ a n d\ D ,\ E\ are the mid-points of the sides A B\ a n d\ A C respectively, calculate The length of B C (ii) The area of A D E

Let A B C be an isosceles triangle in which A B=A Cdot If D ,\ E ,\ F be the mid-points of the sides B C ,\ C A\ a n d\ A B respectively, show that the segemtn A D\ a n d\ E F bisect each other at right angles.

If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respectively of a triangle A B C , prove by vector method that A r e aof D E F=1/4(a r e aof A B C)dot

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c mdot Find the area of E F G

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P\ to\ B C intersects F E\ at Qdot Prove that A Q=Q P

RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In Fig.9.33, ABC and BDE are two equilateral triangles such that D is ...

    Text Solution

    |

  5. In Figure, ABCD is a rectangle in which CD=6 cm ,AD=8 cm Find the area...

    Text Solution

    |

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

    Text Solution

    |

  7. In Figure, ABCD is a rectangle with sides AB=10 cm and AD=5 cm Find th...

    Text Solution

    |

  8. In Figure, ABCD is a rectangle with sides AB=10 cm and AD=5 cm Find th...

    Text Solution

    |

  9. P Q R S is a rectangle inscribed in a quadrant of a circle of radius...

    Text Solution

    |

  10. 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

    |

  11. A B C is a triangle in which D is the mid-point of B C , E and F a...

    Text Solution

    |

  12. P Q R S is a trapezium having PS a n d Q R as parallel sides. A is a...

    Text Solution

    |

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

    Text Solution

    |

  14. P is any point on base B C of A B C\ a n d\ D is the mid-point of...

    Text Solution

    |

  15. Two parallelograms are on equal bases and between the same parallels. ...

    Text Solution

    |

  16. A triangle and a parallelogram are on the same base and between the...

    Text Solution

    |

  17. Let A B C be a triangle of area 24sq. units and P Q R be the tri...

    Text Solution

    |

  18. The median of a triangle divides it into two congruent triangle ...

    Text Solution

    |

  19. In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a...

    Text Solution

    |

  20. A B C D is a parallelogram. P is any point on C Ddot If a r\ ( D...

    Text Solution

    |