Home
Class 9
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 `trianglePQR` (see Fig.). Show that `triangleABC ~ trianglePQR` .
.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos
  • SURFACE AREAS AND VOLUMES

    MODERN PUBLICATION|Exercise EXERCISE|228 Videos

Similar Questions

Explore conceptually related problems

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

Sides AB and AC and median AD of a triangle ABC are proportional to sides PQ and PR and median PM of another triangle PQR. Prove that triangleABC - trianglePQR . .

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 Fig ). Show that : DeltaABM ~= 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 Fig ). Show that : DeltaABM ~= DeltaPQN .

S and T are points on sides PR and QR of trianglePQR such that angleP = angleRTS .Show that triangleRPQ~triangleRTS .

E and F are respectively the mid-points of equal sides AB and AC of Delta ABC (see Fig. 7.28). Show that BF = CE.

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

D, E and F are respectively the mid-points of the sides BC, CA and AB of a triangle ABC . Show that:- BDEF is a parallelogram.

If the median AD of a triangle ABC makes an angle theta with side, AB, then sin(A-theta) is equal to

Through A,B and C lines RQ,PR and QP have been drawn, respectively parallel to sides BC, CA and AB of a triangleABC as shown in fig. show that BC=1/2QR

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. Sides AB and BC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  2. PQR is a triangle in which PQ=PR and S is any point on the side PQ. Th...

    Text Solution

    |

  3. In an isosclees triangle ABC, with AB = AC, the bisectors of angleB an...

    Text Solution

    |

  4. P is a point on the bisector of an angle angleABC. If the line through...

    Text Solution

    |

  5. ABC is a right angled triangle in which angleA = 90^@ and AB = AC. Fin...

    Text Solution

    |

  6. In the fig. RT=TS, angle1=2angle2 and angle4=2angle3. Prove that trian...

    Text Solution

    |

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

    Text Solution

    |

  8. In trianglePQR, S is the point on the side QR. Prove that PQ+QR+RP>2PS

    Text Solution

    |

  9. In the given fig. O is the point of each of the line segment AB and CD...

    Text Solution

    |

  10. In the given figure PA bot AB, QB bot AB and PA=QB intersects AB at O,...

    Text Solution

    |

  11. In the fig. X and Y are respectively two points on equal sides AB and ...

    Text Solution

    |

  12. In the fig. C is the mid point of AB. If angleDCA=angleECB and angleDB...

    Text Solution

    |

  13. In the fig. BAbotAC and DEbotEF such that BA=DE and BF=DC. Prove that ...

    Text Solution

    |

  14. In the fig. AD is a median of triangleABC. If BL and CM are drawn perp...

    Text Solution

    |

  15. In the fig. triangle AB=AC and bisectors of angleB and angleC meet at ...

    Text Solution

    |

  16. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  17. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  18. Prove that the median from the vertex of an isosceles triangle is the ...

    Text Solution

    |

  19. In the fig. ABCD is square and P is a point on such that PB=PD. Prove ...

    Text Solution

    |

  20. In the fig. :ABCD is a quadrilateral in which AD=AB and BC=DC. Prove t...

    Text Solution

    |

  21. In the fig. :ABCD is a quadrilateral in which AD and BC=DC. Prove that...

    Text Solution

    |