Home
Class 9
MATHS
In Figure, P Q R S is a square and S R T...

In Figure, `P Q R S` is a square and `S R T` is an equilateral triangle. Prove that `P T=Q T` (ii) `/_T Q R=15^0`

Text Solution

AI Generated Solution

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

In Figure, P Q R S is a square. Determine /_S R Pdot

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

In Figure, P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. Prove that /_R >\ /_P\ a n d\ /_S >\ /_Q .

In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\ Q S intersect in O . Show that : (i) P Q+Q R+R S+S P > P R+Q S (ii) P Q+Q R+R S+S P<2(P R+Q S)

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

P Q R S T U is a regular hexagon. Determine each angle of triangle P Q T .

In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of /_ Q and /_R respectively. Prove that S Q > S R .

In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S intersect in O . Show that P Q+Q R+R S+S P > P R+Q S PQ+QR+RS+SP<2 (PR+QS) Figure

If P Q R S is a square, then write the measure of /_S R P

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, the side B A\ a n d\ C A have been produced such that B ...

    Text Solution

    |

  2. In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-p...

    Text Solution

    |

  3. In Figure, P Q R S is a square and S R T is an equilateral triangle...

    Text Solution

    |

  4. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  5. In a A B C , if /A=120^0a n d\ A B=A Cdot Find /B\ a n d\ /C

    Text Solution

    |

  6. In A B C , if A B=A C\ a n d\ /B=70^0, find /A

    Text Solution

    |

  7. The vertical angle of an isosceles triangle is 100^0dot Find its ba...

    Text Solution

    |

  8. In Figure, A B=A C\ a n d\ /A C D=100^0, find /B A C

    Text Solution

    |

  9. Find the measure of each exterior angle of an equilateral triangle.

    Text Solution

    |

  10. If the base of an isosceles triangle is produced on both sides, pro...

    Text Solution

    |

  11. In Figure, A B=A C\ a n d\ D B=D C , find the ratio /A B D\ :\ /A C D

    Text Solution

    |

  12. Determine the measure of each of the equal angles of a right-angled...

    Text Solution

    |

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

    Text Solution

    |

  14. A B is a line segment. P\ a n d\ Q are points on opposite sides of A...

    Text Solution

    |

  15. In Figure, diagonal A C of a quadrilateral A B C D bisects the angles ...

    Text Solution

    |

  16. A B is a line segment. A X\ a n d\ B Y are two equal line segments d...

    Text Solution

    |

  17. l\ a n d\ m are two parallel lines intersected by another pair of p...

    Text Solution

    |

  18. In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P i...

    Text Solution

    |

  19. In Figure, /B C D=/A D C\ a n d\ /A C B=/B D Adot Prove that A D=B C\ ...

    Text Solution

    |

  20. In two right triangles, one side and an acute angle of one triangle...

    Text Solution

    |