Home
Class 7
MATHS
Take any point O in the interior of a tr...

Take any point O in the interior of a triangle PQR. Is

OP+OQ>PQ?

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Take any point O in the interior of a triangle PQR. Is OQ+OR>QR?

Take any point O in the interior of a triangle PQR. Is OR+OP>RP?

O is any point in the interior of triangleABC such that OB=OC and AB=AC. Show that AO bisects angleA .

In fig., O is a point in the interior of a triangle ABC, OD bot BC, OE bot AC and OF bot AB. Show that:- AF^2+BD^2+CE^2=AE^2+CD^2+BF^2 . .

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that triangleOCD is an isosceles triangle.

In the fig. P is a point in the interior of angleAOB , PLbotOA and PMbotOB such that PL=PM, show OP is the bisector of angleAOB

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0) , (0, 41) and (41, 0) is

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides, the lengths of te perpendicular are 14 cm, 10 cm and 6cm. Find the area of the triangle.

PSEB-THE TRIANGLE AND ITS PROPERTIES-EXAMPLE
  1. Is it possible to have a triangle with the following sides? 3 cm, 6 ...

    Text Solution

    |

  2. Is it possible to have a triangle with the following sides? 6 cm, 3...

    Text Solution

    |

  3. Take any point O in the interior of a triangle PQR. Is OP+OQ>PQ?

    Text Solution

    |

  4. Take any point O in the interior of a triangle PQR. Is OQ+OR>QR?

    Text Solution

    |

  5. Take any point O in the interior of a triangle PQR. Is OR+OP>RP?

    Text Solution

    |

  6. AM is a median of a triangle ABC. Is AB+BC+CA> 2 AM? (Consider the s...

    Text Solution

    |

  7. ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?

    Text Solution

    |

  8. The lengths of two sides of a triangle are 12 cm and 15 cm. Between wh...

    Text Solution

    |

  9. Is the sum of any two angles of a triangle always greater than the thi...

    Text Solution

    |

  10. Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, ...

    Text Solution

    |

  11. ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length ...

    Text Solution

    |

  12. Find the unknown lengthx in the following figures

    Text Solution

    |

  13. Find the unknown lengthx in the following figures

    Text Solution

    |

  14. Find the unknown lengthx in the following figures

    Text Solution

    |

  15. Find the unknown length x in the following figures

    Text Solution

    |

  16. Find the unknown lengthx in the following figures

    Text Solution

    |

  17. Find the unknown lengthx in the following figures

    Text Solution

    |

  18. PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, fi...

    Text Solution

    |

  19. ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, fin...

    Text Solution

    |

  20. A 15 m long ladder reached a window 12 m high from the ground on placi...

    Text Solution

    |