Home
Class 10
MATHS
S and T are points on sides PR and QR of...

S and T are points on sides PR and QR of `triangle PQR` such that `angleP=angleRTS`.Show that`triangleRPQ~triangleRTS`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos
  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC,D and E are points on the sides AB and AC such that angleAED=angleC . Prove that triangleADE~triangleABC

D is a point on the side BC of a triangle ABC such that angleADC=angleBAC .Show that CA^2=CB.CD .

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR.Show that triangleABC~trianglePQR .

D and E are two points on the sides AC and AB respectively of triangleABC such that triangle ADE~triangleABC .If AD=1.9cm,AE=3.6cm.BE=2.1cm.and BC=8.4 cm.find DE.

Sides AB and BC and median AD of a triangle ABC are respeetively proportional to sides PQ and QR and median PM of trianglePQR (see Fig. 6.41). Show that triangleABC~trianglePQR .

In Fig. 6.36, (QR)/(QS)=(QT)/(PR) and angle 1=angle 2 .Show that trianglePQS~triangle TQR

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(iii)PQ =.1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(i)PE = 3.9 cm,EQ = 3 cm,PF= 3.6 cm and FR = 2.4 cm

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(ii) PE = 4 cm, QE =4.5 cm, PF = 8 cm and RF = 9 cm

If D,E,F are the mid-point of sides AB,BC and CA respectively of triangle then the ratio of the areas of triangles triangleDEF and ABC is

R G PUBLICATION-TRIANGLES-EXERCISE
  1. Diagonals AC and BD of a trapezium ABCD with AB||DC intérsect each oth...

    Text Solution

    |

  2. In Fig. 6.36, (QR)/(QS)=(QT)/(PR) and angle 1=angle 2.Show that triang...

    Text Solution

    |

  3. S and T are points on sides PR and QR of triangle PQR such that angleP...

    Text Solution

    |

  4. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |

  5. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |

  6. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |

  7. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |

  8. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  9. If Fig. 6.3 ,ABC and AMP are two right triangles right angled at B and...

    Text Solution

    |

  10. If Fig. 6.3 ,ABC and AMP are two right triangles right angled at B and...

    Text Solution

    |

  11. CD and GH are respectively the bisectors of angleACB and angleEGFsuch ...

    Text Solution

    |

  12. CD and GH are respectively the bisectors of angleACB and angleEGFsuch ...

    Text Solution

    |

  13. CD and GH are respectively the bisectors of angleACB and angleEGFsuch ...

    Text Solution

    |

  14. In FIg. 6.40, E is a point on side CB produced of an isosceles triangl...

    Text Solution

    |

  15. Sides AB and BC and median AD of a triangle ABC are respeetively propo...

    Text Solution

    |

  16. D is a point on the side BC of a triangle ABC such thatangleADC=angleB...

    Text Solution

    |

  17. Sides AB and AC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  18. A vertical pole of length 6 m casts a shadow 4 m long on the ground an...

    Text Solution

    |

  19. If AD and PM are medians of triangles ABC and PQR,respectively where t...

    Text Solution

    |

  20. Let triangleABC~triangleDEF and their areas be,respectively,64cm^2 and...

    Text Solution

    |