Home
Class 9
MATHS
In A B C ,\ D ,\ E\ a n d\ F are, respe...

In ` A B C ,\ D ,\ E\ a n d\ F` are, respectively, the mid-points of `B C ,\ C A\ a n d\ A B` . If the lengths of side `A B ,\ B C\ a n d\ C A` are 7cm, 8cm, and 9cm, respectively, find the perimeter of ` D E F`

Text Solution

Verified by Experts

as we know EF is a line joining mid point of AB, AC is parallel to BC and
EF`=(1/2)xxBC`
`=(1/2)xx8=4cm`
similarly,DE`=(1/2)xx7=7/2cm`
and DF`=9/2cm`
perimeter of DEF `=7/2+9/2+4`
`=12cm`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|67 Videos
  • RATIONALISATION

    RD SHARMA|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( R Q C)=3/8\ a r\ (\ A B C)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

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

In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ C A\ a n d\ A B respectively. If A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m , find the perimeter of the quadrilateral A R P Q

In DeltaA B C , D, E and F are respectively the mid-points of sides AB, BC and CA. Show that DeltaA B C is divided into four congruent triangles by joining D, E and F.

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

A B C is a triangle in which D is the mid-point of B C ,\ E\ a n d\ F are mid-points of D C\ a n d\ A E respectively. If area of A B C is 16\ c m^2, find the area of D E F

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a A B C . Determine the ratio of the areas of D E F and A B C .

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at Fdot Then A F= 3/2A B (b) 2\ A B (c) 3\ A B (c) 5/4\ A B

RD SHARMA-QUADRILATERALS-All Questions
  1. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

    Text Solution

    |

  2. Prove that the line segment joining the mid-points of the diagonals of...

    Text Solution

    |

  3. In A B C ,\ D ,\ E\ a n d\ F are, respectively, the mid-points of ...

    Text Solution

    |

  4. In a triangle /ABC ,\ /A=50^@,\ /B=60^@ and /C=70^@ . Find the measure...

    Text Solution

    |

  5. In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ ...

    Text Solution

    |

  6. In a A B C median A D is produced to X such that A D=D X . Prove that...

    Text Solution

    |

  7. In a ABC , E and F are the mid-points of AC and AB respectively. The a...

    Text Solution

    |

  8. In a A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C ...

    Text Solution

    |

  9. In Figure, triangle A B C is right-angled at Bdot Give that A B=9C M ,...

    Text Solution

    |

  10. In Figure, M ,\ N\ a n d\ P are the mid-points of A B ,\ A C\ a n d\ B...

    Text Solution

    |

  11. A B C is a triangle and through A ,\ B ,\ C lines are drawn para...

    Text Solution

    |

  12. In Figure, B E|A C ,\ A D is any line from A\ to\ B C intersecting B E...

    Text Solution

    |

  13. In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exter...

    Text Solution

    |

  14. Let A B C be an isosceles triangle in which AB=AC If D , E , F be th...

    Text Solution

    |

  15. A B C is a triangle. D is a point on A B such that D=1/4A B\ a n d\ E ...

    Text Solution

    |

  16. In Figure, A B C D is a parallelogram in which P is the mid-point o...

    Text Solution

    |

  17. In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-poi...

    Text Solution

    |

  18. A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n...

    Text Solution

    |

  19. B M\ a n d\ C N are perpendicular to a line passing through the vert...

    Text Solution

    |

  20. Show that the line segments joining the mid-points of the opposite s...

    Text Solution

    |