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

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`DeltaA B C DeltaP Q R`.

Text Solution

Verified by Experts

The correct Answer is:
`thereforeDeltaABC~DeltaPQR`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.4|9 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.5|21 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.2|12 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

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 thatDeltaA B C DeltaP Q R .

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. Prove that Delta ABC~ Detla PQR

Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of DeltaP Q R . Show that DeltaA B C~ DeltaP Q R .

Sides AB and BC and median AD of a triangle ABC are respectively propor-/ tional to sides PQ and QR and median PM of DeltaPQR (see Fig. 6.41). Show that DeltaABC~DeltaPOR.

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (see figure). Show that Delta ABM ~= DeltaPQN

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (see figure). Show that DeltaABC~=DeltaPQR

Two sides AB and BC and median AM of one triangle ABC are respectively equal to side PQ and QR and median PN of DeltaA B C~=DeltaP Q R (see Fig. 7.40). Show that: (i) DeltaA B M~=DeltaP Q N (ii) DeltaA B C~=DeltaP Q R

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

If two sides and a median bisecting one of these sides of a triangle are respectively proportional to the two sides and corresponding median of another triangle; then triangle are similar.

MTG IIT JEE FOUNDATION-TRIANGLES -NCERT Section Exercise 6.3
  1. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  2. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  3. In the figure , DeltaODC~DeltaOBA,angleBOC=125^(@)and angleCDO=70^(@)...

    Text Solution

    |

  4. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each ...

    Text Solution

    |

  5. In the given figure, (QR)/(QS)= (QT)/(PR) and angle1 = angle2 then pro...

    Text Solution

    |

  6. In the given figure, S and T are points on sides PR and QR of Delta PQ...

    Text Solution

    |

  7. In the figure ,if DeltaABE~=DeltaACD , Show that DeltaADE~DeltaABC .

    Text Solution

    |

  8. In the figure , altitudes AD and CE of DeltaABC intersect each other...

    Text Solution

    |

  9. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  10. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  11. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

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

    Text Solution

    |

  13. In figure ABC and AMP are two right triangles, right angles at B an...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /A C Band /E G Fsuch tha...

    Text Solution

    |

  15. In figure E is a point on side CB produced of an isosceles triangle A...

    Text Solution

    |

  16. Sides AB and BC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  17. In the given figure , D is a point on the side BC of Delta ABC such th...

    Text Solution

    |

  18. Sides AB and AC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |