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

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) .

MBD-TRIANGLES-EXERCISE
  1. If AD and PM are medians of triangles ABC and PQR, respectively where...

    Text Solution

    |

  2. Fill in the blank ,- The polygons of same number of sides are similar:...

    Text Solution

    |

  3. Fill in the blank ,- The polygons of same number of sides are similar:...

    Text Solution

    |

  4. Fill in the blank ,- All regular polygons of same number of sides are…...

    Text Solution

    |

  5. Fill in the blank ,- A polygon of 10 sides is ………… to a polygon of 11 ...

    Text Solution

    |

  6. In figure, DE is parallel to BC. If (AD)/(DB)=2/3 and AC:= 18 cm find ...

    Text Solution

    |

  7. Given angleABC and DE || BC AD = 4x - 3, DB = 3x - 1 AE = 8x - 7, EC =...

    Text Solution

    |

  8. M and N are points on the sides PQ and PR respectively of anglePQR. If...

    Text Solution

    |

  9. In figure AB = 6 cm, AH = 8 cm, CK = 2.4 cm, BC || HK, calculate AK. ...

    Text Solution

    |

  10. Points P, Q and R lie on sides BC, CA and AB respectively of triangle ...

    Text Solution

    |

  11. Infigure, if AB II DC,find the value of x . .

    Text Solution

    |

  12. In the given figure, DE || BC. If AD = 3.6 cm, AB = 9 cm and AE = 2.4 ...

    Text Solution

    |

  13. In the given figure, DE || BC. If (AD)/(DB)=3/5 AC = 5.6 cm, find AE....

    Text Solution

    |

  14. In the given figure, DE || BC. If AD = x cm, DB = (x - 2) cm, AE = (x...

    Text Solution

    |

  15. In the given figure, AB || PQ and AC || PR. Prove that BC || QR. .

    Text Solution

    |

  16. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  17. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  18. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  19. In fig., angleA=angle1 Prove that triangleBDE~triangleBCA . .

    Text Solution

    |

  20. In figure AB bot BC and DE bot AC. Prove that triangleABC ~ triangleAE...

    Text Solution

    |

  21. A vertical stick 20 cm long casts a shadow 6 cm long on the ground. At...

    Text Solution

    |