Home
Class 10
MATHS
Prove that the two madians of a triangle...

Prove that the two madians of a triangle divide each other in the ratio `2 : 1`

Text Solution

Verified by Experts

The correct Answer is:
` 2 : 1`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (VERY SHORT ANSWER TYPE QUESTIONS)|17 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS-(II))|6 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|5 Videos

Similar Questions

Explore conceptually related problems

What do you observe? Justify that the point that divides each median in the ratio 2 : 1 is the centriod of a triangle.

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . What do you observe ? [Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2 : 1.]

If the diagonals of a quadrilateral divide each other proportionally, then prove that the quadrilateral is a trapezium.

If one diagonal of a trapezium divides the other in the ration 1 : 2 , then prove that one of the parallel sides is twice the other.

Prove that the ratio at the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

What is the ratio of areas of two similar triangles whose sides are in the ratio 15 : 19 ?

Prove that " the ratio of areas of two similar triangles is equal to the square of the ratio of their altitudes.

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Prove that “the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides”.

If the ratio of the perimeter of two similar triangles is 4:25, then find the ratio of the areas of the similar triangles

OSWAAL PUBLICATION-TRIANGLES-TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS)
  1. In the trapezium ABCD, AB || DC and Delta ARD - Delta BEC. Then Prove ...

    Text Solution

    |

  2. If a straight line divdes two sides of a triangle proportionally, then...

    Text Solution

    |

  3. In a trapezium, prove that the line joining the midpoints of non - par...

    Text Solution

    |

  4. In a trapezium ABCD, AB || CD If OA = 3x - 19 OC = 3 - 5 BO = x ...

    Text Solution

    |

  5. Find the unknown values is each of the following figures. All lengths ...

    Text Solution

    |

  6. In Delta ABC, D and E are points in the sides AB and AC respectively s...

    Text Solution

    |

  7. E and F are points on the sides PQ and PR respectively of Delta PQR....

    Text Solution

    |

  8. In the figure, PC || QK and BC || HK. If AQ = 6 cm, QH = 4 cm, HP = 5 ...

    Text Solution

    |

  9. In the figure, PR || RC and QR || BD. Prove that PQ || CD.

    Text Solution

    |

  10. In Delta ABC, DE || BC and CD || EF. Prove that AD^(2) = AF xx AB

    Text Solution

    |

  11. If the diagonals of a quadrilateral divide each other proportionally, ...

    Text Solution

    |

  12. In the given figure, (SP)/(SQ)= (PT)/(TR) and / PST = /PRQ. Prove that...

    Text Solution

    |

  13. In a Delta ABC, let P and Q be points on AB and AC respectively such t...

    Text Solution

    |

  14. Throught the mid-point M of the sides of a parallelogram ABCD, the li...

    Text Solution

    |

  15. Prove that the two madians of a triangle divide each other in the rati...

    Text Solution

    |

  16. In the given figure / ABD = /BDC and CD = 4AB. Show that BD =5BE.

    Text Solution

    |