Home
Class 10
MATHS
PQR is a triangle right angled at P and ...

PQR is a triangle right angled at P and M is a point on QR such that `PM bot QR` . Show that `PM^(2)=QM .MR.`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.6 (OPTIONAL)|15 Videos
  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.4 (Tick the correct answer and justify) :|2 Videos
  • SURFACE AREAS AND VOLUMES

    SUBHASH PUBLICATION|Exercise EXERCISE 15.5|4 Videos

Similar Questions

Explore conceptually related problems

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

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AC^(2)=BC . DC

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AD^(2)=BD.CD

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AB^(2)=BC.BD

In Fig. ABD is a triangle right angled at A and AC bot BD show that (i) AB^(2) =BC . BD , (ii) AC^(2) = BC . DC , (iii) AD^(2) = BD . CD

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In a Delta PQR , N is point on PR such that QN _|_ PR , also PN.NR = QN^(2) . Then find /_ PQR

Delta ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that BCD is a right angle.

S and T are point on sides PR and QR of Delta PQR such that /_ P = /_ RTS . Show that Delta RPQ - Delta RTS .

S and T are points on sides PR and QR of Delta PQR such that . Show that Delta RPQ~Delta RTS .

SUBHASH PUBLICATION-TRIANGLES -EXERCISE 2.5
  1. Sides of triangles are given below. Determine which of them are right ...

    Text Solution

    |

  2. Sides of triangles are given below. Determine which of them are right ...

    Text Solution

    |

  3. PQR is a triangle right angled at P and M is a point on QR such that P...

    Text Solution

    |

  4. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

    Text Solution

    |

  5. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

    Text Solution

    |

  6. In Fig , ABD is a triangle right angled at A and AC bot BD. show that ...

    Text Solution

    |

  7. ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2A...

    Text Solution

    |

  8. ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2) , prove t...

    Text Solution

    |

  9. ABC is an equilateral triangle of side 2a. Find each of its altitudes.

    Text Solution

    |

  10. Prove that sum of the squares of the side of a rhombus is equal to th...

    Text Solution

    |

  11. In Fig. 2.54, o is a point in the interior of a triangle ABC,ODbotBC,...

    Text Solution

    |

  12. In Fig. 2.54, o is a point in the interior of a triangle ABC,ODbotBC,...

    Text Solution

    |

  13. A ladder 10 m long reaches a window 8 m above the ground. Find the di...

    Text Solution

    |

  14. A guy wire attached to a vertical pole of height 18 m is 24 m long and...

    Text Solution

    |

  15. An aeroplane leaves an airport and files due north at a speed of 1000...

    Text Solution

    |

  16. Two poles of heights 6 m and 11 m stand on a plane ground. If the di...

    Text Solution

    |

  17. D and E are points on the sides CA and CB respectively of a triangle A...

    Text Solution

    |

  18. The perpendicular from A on side BC of a DeltaABC intersects BC at D...

    Text Solution

    |

  19. In an equilateral triangle ABC , D is a point on side BC such that BD ...

    Text Solution

    |

  20. In an equilateral triangle , prove that three times the square pf one ...

    Text Solution

    |