Home
Class 10
MATHS
In the figure D is a point on BC such th...

In the figure D is a point on BC such that `/_ABD=/_CAD`. If `AB=5cm, AD=4cm` and `AC=3cm`. Find (i) BC (ii) DC (iii) `A(DeltaACD):AIDeltaBCA)`.

Text Solution

Verified by Experts

The correct Answer is:
(i)`BC=3.75` (ii) `DC=2.4`
(iii) `A(DeltaACD0:A(DeltaBCA)=16:25`
NA
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ TYPE|15 Videos

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos

  • STATISTICS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (MCQs)|35 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC, AB=AC=17cm D is a point on BC such that AD=15, CD=4 cm , find BD=?

In the given figure, AD is the bisector of angle BAC . If AB =10 cm , AC=6 cm and BC=12 cm, find BD and DC .

In the given figure AD is the bisector of angleA . If BD= 4 cm , DC = 3 cm and AB = 6cm . Find AC.

In the figure below, DE || AC and DC || AP. Find (BE)/(EC) such that BC = 4 cm and BP = 6 cm.

In the given figure , if AD is the bisector of angleBAC . If AB=10 cm , AC = 14 cm and BC = 6 cm , then find BD and DC .

In the figure AD is the external bisector of /_EAC, intersects BC produced to D.If AB=12cm and BC=4cm, find CD

In DeltaABC, DEabs()BC . If AD= 4 cm, DB = 4.5cm and AE = 8cm, find AC.

In Delta ABC, AB=AC and D is a point on side AC such that BD = BC, If AB = 12.5 cm and BC = 5 cm, then what is the measure of DC ?

In the given figure , Ad is the bisector of angleBAC . If AB = 10 cm , AC = 14 cm and BC = 8 cm , find BD and DC respectively .

NAVNEET PUBLICATION - MAHARASHTRA BOARD-SIMILARITY-SUBJECTIVE TYPE
  1. The heights of DeltaABC and DeltaDBC are 4 cm and 6 cm respectively. F...

    Text Solution

    |

  2. In DeltaPQR, ray PS is the bisector of /QPR. Q-S-R. If QS=4.8 cm, SR...

    Text Solution

    |

  3. If DeltaABC~DeltaEDC,AC=15, BC=10,CE=12, then find CD.

    Text Solution

    |

  4. DeltaABC~DeltaPQR. If AB : PQ=4: 5, find A(DeltaABC) : A(DeltaPQR).

    Text Solution

    |

  5. The ratio of the areas of two triangles A(1):A(2) is 3:2. The correspo...

    Text Solution

    |

  6. In the figure lien PQ|| side BC,AP=2.4cm, PB=7.2cm, QC=5.4cm then find...

    Text Solution

    |

  7. DeltaABC~DeltaDEF, BC=4.8cm EF=7.2cm. Complete the following activity ...

    Text Solution

    |

  8. In DeltaABC, D is the midpoint of side AB. Line DE|| side BC. A-E-C. P...

    Text Solution

    |

  9. In the figure seg SP| side YK, and seg Yt| side SK. If SP=6, YK=13, YT...

    Text Solution

    |

  10. Line m intersects sides AB and AC of DeltaABC in the points P and Q re...

    Text Solution

    |

  11. In trapezium PQRS,side PQ|| sideSR. Diagonals PR and QS intersect each...

    Text Solution

    |

  12. In the figure D is a point on BC such that /ABD=/CAD. If AB=5cm, AD=4...

    Text Solution

    |

  13. In the figure, set DH| side EF and seg GK| side EF. If DH=12cm, GK=20 ...

    Text Solution

    |

  14. Two triangles are similar. The lengths of the sides of the smaller tri...

    Text Solution

    |

  15. Bisector of /B and /C in DeltaABC meet each other at P. Line AP cuts t...

    Text Solution

    |

  16. In DeltaABC seg MN|| side AC. Seg MN divides DeltaABC into two parts e...

    Text Solution

    |

  17. यदि दो समरूप त्रिभुजों के क्षेत्रफल बराबर हो तो सिद्ध कीजिए कि वे त्रि...

    Text Solution

    |

  18. In the figure sides AB,BC,CA of DeltaABC are produced upto points R,P,...

    Text Solution

    |

  19. In squareABCD , side BC|| side AD. Digonals AC and BD intersect each o...

    Text Solution

    |

  20. In DeltaPQR, set XY|| sides QR, M and N are midpoints of seg PY and se...

    Text Solution

    |