Home
Class 9
MATHS
P Q R is a triangle is which P Q=P R\ a ...

`P Q R` is a triangle is which `P Q=P R\ a n d\ S` is any point on the side `P Q` . Through `S ,` a line is drawn parallel to `Q R` and intersecting `P R\ ` at `Tdot` Prove that `P S=P T`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

P Q R is a triangle in which P Q=P R and S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R at Tdot Prove that P S=P Tdot

In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >2P S

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

P Q R S is a square such that P R\ a n d\ S Q intersect at O . State the measure of /_P O Q .

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

P Q R S is a square. P R and S Q intersect at Odot State the measure of /_P O Qdot

P Q R S is a square. P R and S Q intersect at Odot State the measure of /_P O Qdot

In Figure, P Q R is a triangle and S is any point in its interior, show that SQ+SR < PQ+PR. Given : S is any point in the interior of P Q R To Prove : S Q+S R < P Q+P R Construction: Produce Q S to meet P R in T

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In figure, P Q=P R . Show that P S > P Q .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If the bisector of the exterior vertical angle of a triangle be par...

    Text Solution

    |

  2. In an isosceles triangle, if the vertex angle is twice the sum of t...

    Text Solution

    |

  3. P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the ...

    Text Solution

    |

  4. In a A B C , it is given that A B=A C and the bisectors of /B\ a n d\...

    Text Solution

    |

  5. P is a point on the bisector of an angle /A B Cdot If the line thro...

    Text Solution

    |

  6. Prove that each angle of an equilateral triangle is 60^0

    Text Solution

    |

  7. Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prov...

    Text Solution

    |

  8. A B C is a triangle in which /B=2/C. D is a point on B C such that A D...

    Text Solution

    |

  9. A B C is a right angled triangle in which /A=90^0a n d\ A B=A Cdot ...

    Text Solution

    |

  10. In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D...

    Text Solution

    |

  11. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |

  12. If two isosceles triangles have a common base, prove that the line ...

    Text Solution

    |

  13. A B C\ a n d\ D B C are two isosceles triangles on the same bas B ...

    Text Solution

    |

  14. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

    Text Solution

    |

  15. A point O is taken inside an equilateral four sided figure A B C D suc...

    Text Solution

    |

  16. In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C ar...

    Text Solution

    |

  17. In Figure, A D=B C\ a n d\ B D=C A. Prove that ∠A D B= ∠B C A a n d ∠D...

    Text Solution

    |

  18. In Figure, A B=A C ,\ D is the point in the interior of A B C such ...

    Text Solution

    |

  19. In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that ...

    Text Solution

    |

  20. In A P Q R , if P Q=QR\ a n d\ L ,\ M\ a n d\ N are the mid-points of...

    Text Solution

    |