Home
Class 10
MATHS
If AD and PM are medians of triangles AB...

If AD and PM are medians of triangles ABC and PQR respectively , where `DeltaABC ~ DeltaPQR`, prove that `(AB)/(PQ)= (AD)/(PM)`.

Text Solution

Verified by Experts

The correct Answer is:
`(AB)/(PQ)= (AD)/(PM)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.4|9 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.5|23 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.2|12 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

In the given figure, CM and RN are respectively the medians of DeltaABC and DeltaPQR . If DeltaABC ~DeltaPQR , prove that, (CM)/(RN)=(AB)/(PQ)

If a line intersects sides AB and AC of a triangleABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC) (see the given figure).

Delta ABC and Delta AMP are two right triangles right angled at B and M respectively. Prove that (i) Delta ABC ~ Delta AMP and (ii) (CA)/(PA) = (BC)/(MP) .

In the given figure, CM and RN are respectively the medians of DeltaABC and DeltaPQR . If DeltaABC ~DeltaPQR , prove that, DeltaCMB ~ DeltaRNQ

In the given figure, CM and RN are respectively the medians of DeltaABC and DeltaPQR . If DeltaABC ~DeltaPQR , prove that, DeltaAMC ~ DeltaPNR

Given that Delta ABC ~ Delta PQR , CM and RN are respectively the medians of Delta ABC and Delta PQR . Prove that (i) Delta AMC ~ Delta PNR (ii) (CM)/(RN) = (AB)/(PQ) (iii) Delta CMB ~ Delta RNQ

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In the given figure, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that : DeltaABC ~ DeltaAMP

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.3
  1. Digonal AC and BD of a trapezium ABCD with AB||DC intersects each othe...

    Text Solution

    |

  2. In the given figure (QR)/(QS)=(QT)/(PR)" and "/1= /2. Show that DeltaP...

    Text Solution

    |

  3. S and T are points on sides PR and QR of DeltaPQR such that /P= /RTS. ...

    Text Solution

    |

  4. In the given figure, if DeltaABE cong DeltaACD, show that DeltaADE ~ D...

    Text Solution

    |

  5. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  6. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  7. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  11. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  12. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  13. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  15. In the given figure, E is a point on side CB produced of an isosceles ...

    Text Solution

    |

  16. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |

  17. D is a point on the side BC of a triangle ABC such that /ADC= /BAC. Sh...

    Text Solution

    |

  18. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |