Home
Class 9
MATHS
In the trianglePQR, S is any point on th...

In the `trianglePQR`, S is any point on the side QR show that PQ+QR+RP+2PS

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • SURFACE AREAS AND VOLUMES

    MODERN PUBLICATION|Exercise EXERCISE|228 Videos

Similar Questions

Explore conceptually related problems

In trianglePQR , S is the point on the side QR. Prove that PQ+QR+RP>2PS

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 .

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

PQR is a triangle right angled at P and M is a point on QR such that PM _|_ QR . Show that PM^2 = QM.MR .

In fig. PQRS is a quadrilateral in which diagonals PR and QS intersect at O Show that: PQ+QR+RS+SP<2(PR+QS)

In fig. PQRS is a quadrilateral in which diagonals PR and QS intersect at O Show that: PQ+QR+RS+SP>PR+QS

Q is a point on the side SR of a trianglePSR such that PQ=PR. Prove that PS>PQ.

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In triangleABC, if the AD is a bisector of angleA show that AB>BD and ...

    Text Solution

    |

  2. In the fig. AC>AB and AD is the bisector of angleA show that angleADC>...

    Text Solution

    |

  3. In the trianglePQR, S is any point on the side QR show that PQ+QR+RP+2...

    Text Solution

    |

  4. O is any point in the exterior of a DeltaABC. Prove that 2(OA + OB + O...

    Text Solution

    |

  5. O is any point in the exterior of a DeltaABC. Prove that 2(OA + OB + O...

    Text Solution

    |

  6. O is any point in the exterior of a DeltaABC. Prove that 2(OA + OB + O...

    Text Solution

    |

  7. In the fig. O is the centre of the circle and XOY is diameter. If XZ i...

    Text Solution

    |

  8. The measure of each angle of an equilateral triangle is :

    Text Solution

    |

  9. In two triangles, ABC and ADC, if AB=AD, BC=CD. Are they congruent?

    Text Solution

    |

  10. If two congruent triangles ABC and DEF, if AB=DE and BC=EF. Name the p...

    Text Solution

    |

  11. In two triangles ABC and DEF, angleA=angleD,angleB=angleE and angleC=a...

    Text Solution

    |

  12. ABC is an isosceles triangle AB=AC and BD and CE are its two medians. ...

    Text Solution

    |

  13. CDE is an equilateral triangle formed on a side CD of a square ABCD(se...

    Text Solution

    |

  14. In the fig. prove that: AD+AB+BC+CD>2AC.

    Text Solution

    |

  15. In the fig. find x and y

    Text Solution

    |

  16. ABC is an isosceles triangle with AB = AC and AD is one of its altitud...

    Text Solution

    |

  17. In triangleABC, AB=AC and angleA=100^@, find angleB and angleC.

    Text Solution

    |

  18. Sum of any two sides of a triangle is greater than the third side.

    Text Solution

    |

  19. In a triangle, the angle opposite to the longer side is :

    Text Solution

    |

  20. The sides opposite to two equal angles of a triangle are :

    Text Solution

    |