Home
Class 14
MATHS
AD is perpendicular to the internal bise...

AD is perpendicular to the internal bisector of `angleABC` of triangle ABC. DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12cm. Then the length of AE (in cm) is.

A

6

B

8

C

3

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2014 TIER-II PAPER(19)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2016 TIER-II PAPER(14)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

AD is perpendicular on angle bisector of angleABC of DeltaABC . A line DE from D is parallel to BC where it meet AC at E. If AC = 12 cm. then find AE.

ABC is a triangle A line is drawn parallel to BC to meet AB and AC in D and E respectively. Prove that the median through A bisects DE.

Draw any triangle ABC. Bisect side AB at D. Through D, draw a line parallel to BC, meeting AC in E. Measure AE and EC .

Delta ABC is right-angled at C. If AC=5cm and BC=12cm find the length of AB.

In a triangle ABC, angle bisector of angleBAC cut the side BC at D and meet the circumcircle of DeltaABC at E. If AC = 4 cm, AD = 5 cm, DE = 3 cm. Find the length of AB.

If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB=19 cm and AC=22 cm then the length of BC is

CHAMPION PUBLICATION-2015 TIER-II PAPER(17)-EXERCISE
  1. P and Q together can do a job in 6 days. Q and R can finish the same j...

    Text Solution

    |

  2. ABCD is a cyclic quadrilateral. AB and CD when produced meet at P, if ...

    Text Solution

    |

  3. AD is perpendicular to the internal bisector of angleABC of triangle A...

    Text Solution

    |

  4. Base of a right pyramid is a square of side 10 cm. If the height of th...

    Text Solution

    |

  5. The centroid of a triangle ABC is G. The area of triangle ABC is 60 cm...

    Text Solution

    |

  6. If x ^(2) + y ^(2) + z ^(2) = xy + yz + zx, then the value of (3x ^(4...

    Text Solution

    |

  7. If 3 ( a^(2) + b^(2) + c^(2)) = (a + b + c)^(2) then the relation be...

    Text Solution

    |

  8. A boat moves downstream at the rate of 1 km in 7 1/2 minutes and upstr...

    Text Solution

    |

  9. If (3x - 2y) : (2x + 3y) = 5 : 6 then the value of ((root(3)(x)+root(3...

    Text Solution

    |

  10. The diameter of each wheel of a car is 70 cm. If each wheel rotates 40...

    Text Solution

    |

  11. In a school there were 1554 students and the ratio of the number of th...

    Text Solution

    |

  12. There would be a 10% loss, if rice is sold at F 54 per kg. To earn a p...

    Text Solution

    |

  13. What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be fille...

    Text Solution

    |

  14. A sum of money is paid back in two annual instalments of Rs.17, 640 ea...

    Text Solution

    |

  15. If 5 cos theta+12 sin theta=13, 0^@< theta <90^@, then the value of si...

    Text Solution

    |

  16. If a hemisphere is melted and four spheres of equal volume are made, t...

    Text Solution

    |

  17. If 90 men can do a certain job in 16 days, working 12 hours day, then ...

    Text Solution

    |

  18. The perimeter of a rhombus is 60 cm and one of its diagonal is 24 cm. ...

    Text Solution

    |

  19. If x - sqrt3 - sqrt2 = 0 and y - sqrt3 + sqrt2 =0, then the value of ...

    Text Solution

    |

  20. Three glasses of equal volume contains acid mixed with water .The rati...

    Text Solution

    |