Home
Class 9
MATHS
Triangles on the same base and between t...

Triangles on the same base and between the same parallels are equal in area.

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

Prove that Parallelograms on the same base and between the same parallels are equal in area.

Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.

Prove by vector method that the parallelogram on the same base and between the same parallels are equal in area.

If a triangle and a parallelogram are on the same base and between the same parallels lines, then the area of the triangle is equal to half that of the parallelogram. GIVEN : A triangle ABC and ||^(gm)BCDE on the same base BC and between the same parallels BC and AD . TO PROVE : ar (triangle ABC) =1/2 ar (||^(gm)BCDE) CONSTRUCTION : Draw AL _|_ BC and DM _|_ BC, produced at M.

A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is (a)1:1 (b) 1:2 (c) 2:1 (d) 1:3

Which of the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels: Figure (ii) Figure (iii) Figure Figure (ii) Figure (iii) Figure

If a triangle and a parallelogram are on the same base and between the same parallels, then prove that the area of the triangle is equal to half the area of the parallelogram.

In which of the following figures, you find two polygons on the same base and between the same parallels?

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

Prove that two triangles having the same base and equal areas lie between the same parallels.

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Let A B C D be a parallelogram of area 124c m^2dot If E and F are the ...

    Text Solution

    |

  2. If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D...

    Text Solution

    |

  3. Triangles on the same base and between the same parallels are equal ...

    Text Solution

    |

  4. Triangles having equal areas and having one side of one of the trian...

    Text Solution

    |

  5. In Figure, A B C D is a parallelogram and E F C D is a rectangle. Al...

    Text Solution

    |

  6. If E ,F ,G and H are respectively the mid-points of the sides of a ...

    Text Solution

    |

  7. In Figure, P is a point in the interior of a parallelogram A B C D . S...

    Text Solution

    |

  8. In Figure, P Q R S and A B R S are parallelograms and X is any point o...

    Text Solution

    |

  9. The diagonals of a parallelogram A B C D intersect at a point Odot Thr...

    Text Solution

    |

  10. E , F , G , H are respectively, the mid-points of the sides of parall...

    Text Solution

    |

  11. The side A B of a parallelogram A B C D is produced to any point Pdot ...

    Text Solution

    |

  12. In Figure, B C ||X Y ,B X||C A and A B|| YC Prove that: a r( A B X...

    Text Solution

    |

  13. The medians B E and C F of a triangle A B C intersect at G . Prove tha...

    Text Solution

    |

  14. ABCD is a parallelogram. E is a point on BA such that BE =2 EA and F i...

    Text Solution

    |

  15. A circular grassy plot of land, 42 m in diameter has a path of 3.5m wi...

    Text Solution

    |

  16. A point O inside a rectangle A B C D is joined to the vertices. Prove ...

    Text Solution

    |

  17. Which of the following figure lie on the same base and between the ...

    Text Solution

    |

  18. A B C D is a quadrilateral and B D is one of its diagonals as shown...

    Text Solution

    |

  19. In parallelogram A B C D ,A B=10c mdot The altitudes corresponding to ...

    Text Solution

    |

  20. Show that the segment joining the mid-points of a pair of opposite ...

    Text Solution

    |