Home
Class 10
MATHS
The given figure shows P a triangle PQR ...

The given figure shows P a triangle PQR in which XY is parallel to QR. If PX : XQ = 1:3 and QR = 9 cm, find the length of XY. Further, if the area of `DeltaPXY = x cm^2`, find, in terms of x, the area of :
trapezium XQRY.
 

Text Solution

Verified by Experts

The correct Answer is:
`XY = 2.25 cm, 15 x cm^2`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 Videos
  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos
  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

The given figure shows P a triangle PQR in which XY is parallel to QR. If PX : XQ = 1:3 and QR = 9 cm, find the length of XY. Further, if the area of DeltaPXY = x cm^2 , find, in terms of x, the area of : triangle PQR.

In the given figure AD is the median. If the area of Delta ABD = 10 cm^(2) , find the area of Delta ABC

The given figure shows a trapezium ABCD in which AB = 17 cm, BC = 8 cm and CD = 15 cm. Find the area and perimeter of the trapezium.

A circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the lengths QM, RN and PL.

A circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the lengths QM, RN and PL.

PQR is a triangle right angled at P. If PQ=10cm and PR=24cm, find QR

In the given triangle PQR, LM is parallel to QR and PM : MR = 3: 4. Calculate the value of ratio : ("Area of "DeltaLMN)/("Area of "Delta MNR")

In the given triangle PQR, LM is parallel to QR and PM : MR = 3: 4. Calculate the value of ratio : ("Area of "DeltaLQM)/("Area of" DeltaLQN)

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T. If SP=12cm and QR=4cm, (iii) Find area of quadrilateral PQRS if area of DeltaPTS=27cm^(2) .

In the given figure, XY || QR, PQ/XQ=7/3 and PR = 6.3 cm, find YR

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. The ratio between the areas of two similar triangles is 16 : 25. Find ...

    Text Solution

    |

  2. The given figure shows P a triangle PQR in which XY is parallel to QR....

    Text Solution

    |

  3. The given figure shows P a triangle PQR in which XY is parallel to QR....

    Text Solution

    |

  4. On a map, drawn to a scale of 1 : 20000, a rectangular plot of land AB...

    Text Solution

    |

  5. On a map, drawn to a scale of 1 : 20000, a rectangular plot of land AB...

    Text Solution

    |

  6. The dimensions of the model of a multi storeyed building are 1 m by 60...

    Text Solution

    |

  7. The dimensions of the model of a multi storeyed building are 1 m by 60...

    Text Solution

    |

  8. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  9. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  10. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  11. A triangle ABC with AB = 3 cm, BC = 6 cm and AC = 4 cm is enlarged to ...

    Text Solution

    |

  12. Two isosceles triangles have equal vertical angles. Show that the tria...

    Text Solution

    |

  13. In triangle ABC, AP : PB = 2 : 3. PO is parallel to BC and is P extend...

    Text Solution

    |

  14. In triangle ABC, AP : PB = 2 : 3. PO is parallel to BC and is P extend...

    Text Solution

    |

  15. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  16. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  17. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  18. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  19. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |

  20. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |