Home
Class 10
MATHS
Sides AB and AC and median AD of a trian...

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`.

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

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 .

If two sides and the median drawn to one of these two sides of a trlangle are proportional to the corresponding sides and median of another triangle,prove that the two triangles are similar.

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

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

In triangle ABC D and E are respectively two points on the side AB and AC.AB=12 cm,AD=8 cm,AE=12 cm and AC=18 cm then show that DE|\|BC .

If cosines of two angles of a triangle are inversely proportional to the opposite sides, show that the triangle is either isosceles or right-angled.

The bisector of angleC and angleG of two similar triangle ABC and EFG are meet the side AB and EF respectively at the point D and H.Prove that triangleDCA~triangleHGE

CD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of triangleABC and triangleFEG respectively. If triangleABC~triangleFEG .show that:(ii) triangleDCB~triangleHGE

CD and GH are respectively the bisectors of angleACB and angleEGF such that D and H lie on sides AB and FE of triangleABC and triangleFEG respectively. If triangleABC~triangleFEG .show that:(iii) triangleDCA~triangleHGF

If cosines of two angles of a triangle are proportional to the opposite sides, show that the triangle is isosceles

R G PUBLICATION-TRIANGLES-EXERCISE
  1. Sides AB and BC and median AD of a triangle ABC are respeetively propo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Diagonals of a trapezium ABCD withAB||DC intersect each other at the p...

    Text Solution

    |

  8. If Fig.6.44 ABC and DBC are two triangles on the same base BC.If AD in...

    Text Solution

    |

  9. If the areas of a similar triangle are equal,prove that they are congr...

    Text Solution

    |

  10. D,E and F are respectively the mid-points of sides AB,BC and CA of tri...

    Text Solution

    |

  11. Prove that the ratio of the areas of two similar triangle is equal to ...

    Text Solution

    |

  12. Prove that the area of an equilateral triangle described on one side o...

    Text Solution

    |

  13. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  14. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

    Text Solution

    |

  15. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  16. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  17. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  18. Sides of triangle are given below.Determine which of them are right tr...

    Text Solution

    |

  19. PQR is a triangle right angled at P and M is a point on QR such that P...

    Text Solution

    |

  20. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |