Home
Class 10
MATHS
PQR is a triangle. S is a point on the s...

PQR is a triangle. S is a point on the side QR of `DeltaPQR ` such that `/_PSR = /_QPR`. Given QP = 8 cm, PR = 6 cm and SR = 3 cm.

Find the lengths of QR and PS.

Text Solution

Verified by Experts

The correct Answer is:
`QR = 12 cm and PS = 4 cm `
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

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Prove DeltaPQR ~ DeltaSPR .

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. ("area of " DeltaPQR)/("area of " Delta SPR)

S is any point on side QR of a Delta PQR . Show that PQ + QR+RP gt 2 PS .

If Q is a point on the side SR of a triangle Delta PSR such that PQ = PR then prove that PS > PQ

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.

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

A and B are respectively the points on the sides PQ and PR of a Delta PQR such that PQ =12.5 cm, PA= 5 cm, BR = 6 cm and PB = 4 cm. Is AB abs QR? Give reason for your answer.

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC

S and T are points on the sides PQ and PR, respectively of Delta PQR , such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of Delta PST and Delta PQR .

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  8. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  9. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  10. In the given figure, AB and DE are perpendiculars to BC Prove that...

    Text Solution

    |

  11. In the given figure, AB and DE are perpendiculars to BC If AB = 6...

    Text Solution

    |

  12. In the given figure, AB and DE are perpendiculars to BC Find the ...

    Text Solution

    |

  13. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  14. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  15. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  16. Given : AB // DE and BC // EF. Prove that: (AD)/(DG) = (CF)/(FG)

    Text Solution

    |

  17. Given : AB // DE and BC // EF. Prove that: DeltaDFG ~ DeltaACG.

    Text Solution

    |

  18. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |

  19. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |

  20. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |