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

If AD and PM are medians of triangles ABC and PQR, respectively where `triangleABC~ trianglePQR` , Prove that `(AB)/(PQ)=(AD)/(PM)` .
.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAND LAL PUBLICATION|Exercise EXERCISE 6.4|7 Videos

  • TRIANGLES

    NAND LAL PUBLICATION|Exercise EXERCISE 6.5|14 Videos

  • TRIANGLES

    NAND LAL PUBLICATION|Exercise EXERCISE 6.2|9 Videos

  • SURFACE AREAS AND VOLUME

    NAND LAL PUBLICATION|Exercise EXERCISE 13.5|7 Videos

Similar Questions

Explore conceptually related problems

In Fig., ABC and AMP are two right triangles, right angled at B and M respectively. Prove that: (i) triangleABC ~ triangleAMP (ii) (CA)/(PA) = (BC)/(MP)

AD,BE and CF the altitudes of triangleABC are equal, prove that triangleABC is equilateral.

In Fig., ABC and AMP are two right triangles, right angled at B and M respectively. Prove that :- triangleABC~ triangleAMP . .

E and F are the mid points of non-parallel sides AD and BC respectively of a trapezium prove that EF||AB.

In the fig. AB=CD and AD=BC prove that triangleADCequivtriangleCBA

In the fig AB=CD and AD=BC. Prove that triangleADCequivtriangleCBA

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR are median PN of trianglePQR . Show that triangleABCequivtrianglePQR

In the fig. AD is a median of triangle ABC and E is the mid point of AD, also BE meets AC in F. prove that AF=1/3AC

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ=1/2(AB+DC) .

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ=1/2(AB+DC) .

NAND LAL PUBLICATION-TRIANGLES -EXERCISE 6.3
  1. State which pairs of triangles in Fig. are similar. Write the similari...

    Text Solution

    |

  2. State which pairs of triangles in Fig. are similar. Write the similari...

    Text Solution

    |

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

    Text Solution

    |

  4. In fig., triangleODC-triangleOBA, angleBOC=125@0 and angleCDO=70@0. F...

    Text Solution

    |

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

    Text Solution

    |

  6. In fig., (QR)/(QS)=(QT)/(PR) and angle1=angle2 . Show that trianglePQS...

    Text Solution

    |

  7. D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47)...

    Text Solution

    |

  8. In figure triangleABE=triangleACD show that triangleADE~triangleABC . ...

    Text Solution

    |

  9. In figure, altitudes AD and CE of DeltaABC intersect each ther at the ...

    Text Solution

    |

  10. In figure, altitudes AD and CE of DeltaABC intersect each ther at the ...

    Text Solution

    |

  11. In Fig., altitudes AD and CE of triangleABC intersect each other at th...

    Text Solution

    |

  12. In Fig., altitudes AD and CE of triangleABC intersect each other at th...

    Text Solution

    |

  13. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. CD and GH are respectively the bisectors of angleACB and angleEGF such...

    Text Solution

    |

  17. CD and GH are respectively the bisectors of angleACB and angleEGF such...

    Text Solution

    |

  18. CD and GH are respectively the bisectors of angleACB and angleEGF such...

    Text Solution

    |

  19. In Fig., E is a point on side CB produced of an isosceles triangle ABC...

    Text Solution

    |

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

    Text Solution

    |