Home
Class 14
MATHS
The points D and E are taken on the side...

The points D and E are taken on the sides `AB and AC `of `DeltaABC`such that `AD = 1/3 AB, AE = 1/3 AC`. If the length of BC is 15 cm, then the length of DE is :

A

10 cm

B

8 cm

C

6 cm

D

5 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

Similar Questions

Explore conceptually related problems

if D and E are points on the sides AB and AC of a DeltaABC . Such that AB=12 cm, AD=8 cm, AE=12 cm, AC= 18 cm. show that DE||BC.

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm , BD = 3 cm , BC = 7.5 cm and DE || BC. Then length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6

P and Q are the points on sides AB and AC respectively of a DeltaABC , such that PQ||BC .If AP|PB=2:3 and AQ=4 cm , then the length of AC is ….. Cm .

In DeltaABC , D and E are points on sides AB and AC respectively such that DE||BC . If AE=1.8cm, BD= 7.2cm and CE= 5.4cm, then the length of AD is

In triangle ABC , D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5cm, DB = 9cm AE =4cm and BC = 15.4cm, then the sum of the length of DE and EC (in cm) is: triangle ABC में, D और E क्रमशः AB और AC भुजाओं पर बिंदु इस प्रकार है की DE||BC, यदि AD = 5cm, DB = 9cm AE = 4cm और BC = 15.4cm है, तो DE और EC (सेमी में) की लंबाई का योग है

Points D, E and F are the midpoints of sides AB, BC, and AC of DeltaABC . If DE = 10 cm, EF = 12 cm and DF = 8 cm, then find AB.

LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. In DeltaABC, angleA=90^(@). From point A, perpendicular AD is drawn to...

    Text Solution

    |

  2. In DeltaABC, DE||BC where D and E are respectively lie on AB and AC an...

    Text Solution

    |

  3. The points D and E are taken on the sides AB and AC of DeltaABCsuch th...

    Text Solution

    |

  4. In Delta ABC, AD is the internal bisector of /A, meeting the side BC a...

    Text Solution

    |

  5. A straight line parallel to the base BC of the triangle ABC intersects...

    Text Solution

    |

  6. D is any point on side AC of DeltaABC. If P,Q, X, Y are the mid points...

    Text Solution

    |

  7. In Delta ABC, PQ is parallel to BC. If AP : PB = 1 : 2 and AQ = 3 cm, ...

    Text Solution

    |

  8. A line parallel to side BC of DeltaABC meets AB and AC respectively at...

    Text Solution

    |

  9. ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...

    Text Solution

    |

  10. In DeltaABC, XY is parallel to BC and it divides the triangle into two...

    Text Solution

    |

  11. In triangle DeltaABC, points E and F lie on sides AB and AC such that ...

    Text Solution

    |

  12. Point D and E respectively lie on the sides AB and AC of a triangle su...

    Text Solution

    |

  13. If ratio of area of two similar triangles are 16:9 then ratio of perim...

    Text Solution

    |

  14. If area of two similar triangle are equal then ratio of their correspo...

    Text Solution

    |

  15. If ratio of area of two similar triangles are 64:81 and length of inte...

    Text Solution

    |

  16. Diagonals AC and BD of a quadrilateral intersect at O. It AO:OC=1:2=BO...

    Text Solution

    |

  17. In a triangle ABC, points D and E respectively lie on side AB and AC s...

    Text Solution

    |

  18. Point D lies on side BC of a DeltaABC such that angleADC=angleBAC. If ...

    Text Solution

    |

  19. Which of the following represents the sides of an acute angled triangl...

    Text Solution

    |

  20. Which of the following combination of sides results in the formation o...

    Text Solution

    |