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

Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of `DeltaPQR`. Show that `DeltaABC~DeltaPQR`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.4)|9 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.5)|17 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.2)|9 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos

Similar Questions

Explore conceptually related problems

sides AB and BC and median AD of a triangle ABC are respectively proportional to side PQ and QR median PM of DeltaPQR (see Fig ). Show that DeltaABC~DeltaPQR

side AB and AC and median AD od a triangle ABC are respectively proportional to side PQ and PR and median PM of another triangle PQR. Show that DeltaABC~DeltaPQR

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Delta PQR. Show that Delta ABM ~= Delta PQN (ii) Delta ABC ~= Delta PQR

S and T are points on sides PR and QR of DeltaPQR such that angleP = angleRTS . Show that DeltaRPQ ~DeltaRTS .

The median AD of the triangle ABC is bisected at E and BE meets AC at F. Find AF:FC.

In Fig. If Delta ABE = ACD , show that Delta ADE ~ Delta ABC .

If AD and PM are median of triangles ABC and PQR respectively where Delta ABC - Delta PQR , prove that (AB)/(PQ) = (AD)/(PM) .

D, E and F are respectively the mid-points of sides AB, BC and CA of Delta ABC . Find the ratio of the areas of Delta DEF and Delta ABC .

D,Eand F are respectively the mid - points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF and DeltaABC.

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

ZEN PUBLICATION-TRIANGLES-TEXTUAL EXERCISES (EXERCISE 2.3)
  1. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  2. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  3. State which pairs of triangles in Fig are similar. Write the similarit...

    Text Solution

    |

  4. If the areas of two similar triangles are equal, prove that they are c...

    Text Solution

    |

  5. In the figure DeltaODC~DeltaOBA,lfloorBOC=125^(@)andlfloorCDO=70^(@). ...

    Text Solution

    |

  6. In Fig , if DeltaABE angleDeltaACD , show that DeltaADE ~ DeltaABC

    Text Solution

    |

  7. In the figure altitudes AD and CE of DeltaABC intersect each other at ...

    Text Solution

    |

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

    Text Solution

    |

  9. In Fig , ABC and AMP are two right triangles, right angled at B and M...

    Text Solution

    |

  10. CD and GH are respectively the bisectors of lfloorACBandlfloorEGF such...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. D is a point on the side BC of a triangle ABC such that lfloorADC=lflo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If AD and PM are median of triangles ABC and PQR respectively where De...

    Text Solution

    |