Home
Class 10
MATHS
D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that `angleADC=angleBAC` . Show `CA^(2)=CB.CD`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.4|7 Videos

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.4 (Tick the correct answer and justify) :|2 Videos

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 2.2|12 Videos

  • SURFACE AREAS AND VOLUMES

    SUBHASH PUBLICATION|Exercise EXERCISE 15.5|4 Videos

Similar Questions

Explore conceptually related problems

In the given fig DeltaDGH~DeltaDEF, DH=8cm, DF=12cm, DG=(3x-1) cm and DE=(4x+2) cm, Find the lengths of DG and DE. OR D is a point on the side BC of DeltaABC such that lfloorADC=lfloorBAC . Prove that (CA)/(CD)=(CB)/(CA) .

If D, E and F are three points on the sides BC, CA and AB, respectively, of a triangle ABC such that the lines AD, BE and CF are concurrent, then show that " "(BD)/(CD)*(CE)/(AE)*(AF)/(BF)=-1

In Fig. 2.54, o is a point in the interior of a triangle ABC,ODbotBC,OEbotACandofbotAB. Show that AF^(2)+BD^(2)+CE^(2)=AE^(2)+CD^(2)+BF^(2).

D and E are points on sides AB and AC respectively of tirangle ABC such that ar (DBC) = ar (EBC) . Prove that DE || BC

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

D and E are points on the sides CA and CB respectively of a triangle ABC right angale at C. prove that AE^(2)+BD^(2)=AB^(2)+DE^(2).

In Fig .D is a point on side BC of DeltaABC such that (BD)/(CD) =(AB)/(AC) prove that AD is the bisector of angleBAC.

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

In Fig E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If ADbotBCandEFbotAC , prove that DeltaABD ~DeltaECT

SUBHASH PUBLICATION-TRIANGLES -EXERCISE 2.3
  1. Diagonals AC and BD of a trapezium ABCD with AB|| DC intersect each ot...

    Text Solution

    |

  2. In Fig (QR)/(QS)=(QT)/(PR)= and angle1 = angle2. show that DeltaPQS ~D...

    Text Solution

    |

  3. S and T are points on sides PR and QR of DeltaPQR such that angleP = a...

    Text Solution

    |

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

    Text Solution

    |

  5. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  6. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  7. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  8. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

    Text Solution

    |

  9. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  13. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  14. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

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

    Text Solution

    |

  16. sides AB and BC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

  17. D is a point on the side BC of a triangle ABC such that angleADC=angl...

    Text Solution

    |

  18. side AB and AC and median AD od a triangle ABC are respectively propor...

    Text Solution

    |

  19. A verticle pole of height 6m casts a shadow 4m long on the ground, and...

    Text Solution

    |

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

    Text Solution

    |