Home
Class 9
MATHS
The median of a triangle divides it into...

The median of a triangle divides it into two

A

triangles of equal area

B

congruent triangles

C

right angles

D

isosceles triangles

Text Solution

Verified by Experts

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

Show that a median of a triangle divides it into two triangles of equal areas.

You have studied in Class IX, (Chapter 9, Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for Delta ABC whose vertices are A(4,-6), B(3,-2) and C(5, 2).

The besector of an angle divides it into two

Show that the sum of three vectors determined by the medians of a triangle directed from the vertics is zero.

Fill in the Blanks: A diagonal of || gm divides it into two triangles of ________ area.

Find the point of intersection of the medians of the triangle with vertices at (- 1, 0), (5,- 2) and (8, 2).

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. Show that the line segments joining the mid-points of opposite sides o...

    Text Solution

    |

  2. Fill in the Blanks: The ratio of area of rectangle and a triangle sh...

    Text Solution

    |

  3. The median of a triangle divides it into two

    Text Solution

    |

  4. Two parallelograms are on equal bases andbetween the same parallels. T...

    Text Solution

    |

  5. The median of a triangle divides it into two

    Text Solution

    |

  6. ABCD is a parallelogram. P is any point on CD. If ar(triangleDPA) = 1...

    Text Solution

    |

  7. The figure obtained by joining the midpoints of the adjacent sides of ...

    Text Solution

    |

  8. In trapezium ABCD AB||DC. If ar (AOD) = 15 cm^2 then ar (BOC) is :

    Text Solution

    |

  9. The lengths of the diagonals of a rhombus are 10 cm and 8.2 cm .Its ar...

    Text Solution

    |

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

    Text Solution

    |

  11. In a ||gm ABCD, if P and Q are mid-points of AB and CD respectively an...

    Text Solution

    |

  12. The median of a triangle divides it into two

    Text Solution

    |

  13. The mid-point of the sides of a triangle along with any of the vertice...

    Text Solution

    |

  14. Two parallelograms are on equal bases andbetween the same parallels. T...

    Text Solution

    |

  15. ABCD is a quadrilateral whose diagonal AC divides it into two parts, e...

    Text Solution

    |

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

    Text Solution

    |

  17. triangleABC~ trianglePQR. If ar(ABC) = 2.25 m^2. ar(PQR) = 6.25m^2,PQ ...

    Text Solution

    |

  18. If triangleABC~triangleDEF, BC = 4 cm, EF = 5 cm and ar(triangleABC) =...

    Text Solution

    |

  19. The area of two similar triangles ABC and PQR are 25 cm^2, 49cm^2. If ...

    Text Solution

    |

  20. What is the area of an equilateral triangle whose sides is 'a'?

    Text Solution

    |