Home
Class 10
MATHS
triangleBAC and triangleBDC are two righ...

`triangleBAC and triangleBDC` are two right-triangle on the same side of the base BC.If AC ans DB intersect each other at a point P,show that `APxxPC=DPxxPB`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos
  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

In Fig.6.61, two chords AB and CD intersect each other at the point P.Prove that :(ii)PA.PB=CP.DP

ABC and DBC are two right angled triangles with common hypotenuse BC with their sides AC and BD intersecting at P. Prove that: AP×PC=DP×PB .

/_\PBC and /_\ QBC are two isosceles triangles on the same side of the some base. Show that the PQ is the right bisector of BC.

If Fig.6.44 ABC and DBC are two triangles on the same base BC.If AD intersects BC atb O,show that (ar(ABC))/(ar(DBC))=(AO)/(DO)

In Fig.6.61, two chords AB and CD intersect each other at the point P.Prove that :(i) triangleAPC~triangleDPB

Two triangles ABC and DBC are in the same side of the common base BC. Lines drawn parallel to BA and BD from any point E on BC intersect AC and DC at the points P and Q respectively. Show that PQ is parallel to AD.

In Fig.6.38,altitudes AD and CE of triangleABC intersect each other at the point P.Show that: (i) triangleAEP~triangleCDP

In Fig.6.38,altitudes AD and CE of triangleABC intersect each other at the point P.Show that: (iii) triangleAEP~triangleADB

In Fig.6.38,altitudes AD and CE of triangleABC intersect each other at the point P.Show that: (ii) triangleABD~triangleCBE

In Fig.6.38,altitudes AD and CE of triangleABC intersect each other at the point P.Show that: (iv) trianglePDC~triangleBEC

R G PUBLICATION-TRIANGLES-EXERCISE
  1. triangleBAC and triangleBDC are two right-triangle on the same side of...

    Text Solution

    |

  2. All circles are . (congruent, similar)

    Text Solution

    |

  3. All squares are -. (Similar, congruent)

    Text Solution

    |

  4. All triangles are similar. (isosceles, equilateral)

    Text Solution

    |

  5. Two polygons of the same number of sides are similar, if(a) their corr...

    Text Solution

    |

  6. Two polygons of the same number of sides are similar, if(b) their corr...

    Text Solution

    |

  7. Give two different examples of pair of(i) similar figures

    Text Solution

    |

  8. Give two different examples of pair of((ii) non-simiIar figures

    Text Solution

    |

  9. State whether foIIowing quadrilaterals are similar or not:

    Text Solution

    |

  10. In fig(i) ,DE||BC.Find EC in (i).

    Text Solution

    |

  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

    Text Solution

    |

  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

    Text Solution

    |

  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

    Text Solution

    |

  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

    Text Solution

    |

  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

    Text Solution

    |

  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

    Text Solution

    |

  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

    Text Solution

    |