Home
Class 8
MATHS
In DeltaPQR, QR=10, RP=11 and PQ=12. D i...

In `DeltaPQR`, QR=10, RP=11 and PQ=12. D is the midpoint of PR, DE is drawn parallel to PQ meeting QR in E. EF is drawn parallel to RP meeting PQ in F. What is the length of DF?

A

`(11)/(2)`

B

6

C

`(33)/(4)`

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet|10 Videos

  • TRIANGLES

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet|10 Videos

  • TIME AND WORK

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 20|10 Videos

  • TRIGONOMETRICAL RATIOS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 40|1 Videos

Similar Questions

Explore conceptually related problems

In DeltaPQR,Pq=PR and S is the mid-point of PQ. A line drawn from S parallel to QR, intersects the line PR at T. Prove that PS = PT.

In DeltaPQR , /_PQR=90^(@) , PQ=6 and QR=8 then the length of seg PR is……. .

Any point X inside D E F is joined to its vertices. From a point P in D X ,\ P Q is drawn parallel to D E meeting X E at Q and Q R is drawn parallel to E F meeting X F in R . Prove that P R D F .

In the figure, a point O inside triangleABC is joined to its vertices. From a point D on AO, DE is drawn parallel to AB and from a point E on BO, EF is drawn parallel to BC. Prove that DF || AC.

PQR is a triangle in which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS=PT

PQR is a triangle is which PQ=PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS=PT

S CHAND IIT JEE FOUNDATION-TRIANGLES -Question Bank
  1. If DeltaABC~DeltaEDF and DeltaABC is not similar to DeltaDEF, then whi...

    Text Solution

    |

  2. In the figure, x equals

    Text Solution

    |

  3. What value of x will make DE || AB in the given figure?

    Text Solution

    |

  4. If the medians of two equilateral triangles are in the ratio 3:2, then...

    Text Solution

    |

  5. The areas of two similar triangles are 121 cm^(2) and 64 cm^(2) respec...

    Text Solution

    |

  6. In the given figure, DE is parallel to BC and the ratio of the areas o...

    Text Solution

    |

  7. ABCD is a trapezium in which AB||CD and AB=2CD. It its diagonals inter...

    Text Solution

    |

  8. AB, EF and CD are parallel lines. Given that EG=5cm, GC= 10 cm, AB = ...

    Text Solution

    |

  9. In the given figure, if PA = x, RC = y and QB = z, then which one of t...

    Text Solution

    |

  10. In DeltaPQR, QR=10, RP=11 and PQ=12. D is the midpoint of PR, DE is dr...

    Text Solution

    |

  11. The hypotenuse of a right triangle is 6 m more than twice the shortest...

    Text Solution

    |

  12. If the distance from the vertex to the centroid of an equilateral tria...

    Text Solution

    |

  13. DeltaABC is an equilateral triangle such that ADbot BC, then AD^(2) =

    Text Solution

    |

  14. P and Q are points on the sides C A and C B respectively of A B...

    Text Solution

    |

  15. ABC is a right-angled triangle, right angled at A and AD is the altitu...

    Text Solution

    |

  16. ABC is a right angle triangle right angled at A. A circle is inscribed...

    Text Solution

    |

  17. DeltaABC is right angled at A and AD bot BC. Then (BD)/(DC)=

    Text Solution

    |

  18. If ABC is a right angled triangle at B and M, N are the mid-points of ...

    Text Solution

    |

  19. Ii DeltaPQR, PDbotQR such that D lies on QR, if PQ=a,PR=b,QD=c and DR=...

    Text Solution

    |

  20. ABC is a triangle right- angled at B and D is a point on BC produced (...

    Text Solution

    |