Home
Class 10
MATHS
Prove that the line segments joining the...

Prove that the line segments joining the mid-points of the sides of a triangle from four triangles, each of which is similar to the original triangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

Prove that the line segments joints joining the mid-points of the adjacent sides of a quadrilateral from a parallelogram.

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In an equilateral triangle A B C if A D|B C , then A D^2 = (a)C D^...

    Text Solution

    |

  2. If a perpendicular is drawn from the vertex containing the right angle...

    Text Solution

    |

  3. Prove that the line segments joining the mid-points of the sides of a ...

    Text Solution

    |

  4. If a perpendicular is drawn from the vertex containing the right angle...

    Text Solution

    |

  5. In a right triangle A B C right-angled at B , if P a n d Q are points ...

    Text Solution

    |

  6. The diagonal B D of a parallelogram A B C D intersects the segment A E...

    Text Solution

    |

  7. ABC is a triangle in which AB = AC and D is a point on AC such that ...

    Text Solution

    |

  8. Two poles of height a metres and b metres are p metres apart. Prove th...

    Text Solution

    |

  9. In a triangle A B C , let P and Q be points on AB and AC respectively...

    Text Solution

    |

  10. A B C is an isosceles triangle with A B=A C and D is a point on A C su...

    Text Solution

    |

  11. If A B C D is quadrilateral and E and F are the mid-points of AC and B...

    Text Solution

    |

  12. Through the mid-point M of the side C D of a parallelogram A B C D , t...

    Text Solution

    |

  13. In a A B C ,D and E are points on sides A B a n d A C respectively su...

    Text Solution

    |

  14. Let A B C be a triangle and D and E be two points on side A B such tha...

    Text Solution

    |

  15. The side B C of a triangle A B C is bisected at D ; O is any point in ...

    Text Solution

    |

  16. In Figure, A B C is a triangle in which A B=A Cdot Point D and E are p...

    Text Solution

    |

  17. The bisector of interior angleA of triangleABC meets BC and D and the ...

    Text Solution

    |

  18. In three line segments OA ,OB and OC , point L ,M ,N respectively are ...

    Text Solution

    |

  19. O is any point inside a triangle A B C . The bisector of /A O B ,/B O ...

    Text Solution

    |

  20. ABCD is a quadrilateral in which AB=AD . The bisector of  BAC a...

    Text Solution

    |