Home
Class 10
MATHS
In Delta ABC, D and E are points on the ...

In `Delta ABC`, D and E are points on the sides AB and AC respectively such that `DE||BC`
(i) If `(AD)/(DB)=(3)/(4)` and AC=15 cm find AE.
(ii) If AD=8x-7, DB=5x-3, AE= 4x-3 and EC=3x - 1, find the value of x.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    FULL MARKS|Exercise THINKING CORNER|2 Videos

  • GEOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS)|23 Videos

  • DEPARTMENTAL MODEL PAPER

    FULL MARKS|Exercise PART-IV|3 Videos

  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, if D and E are mid points of sides AB and AC respectively. Show that vecBE+ vecDC=(3)/(2)vecBC .

In Delta ABC, DE ||BC and (AD)/(DB) = (3)/(5) . AC = 5.6 Find AE.

In Delta ABC , D and E are points on the sides AB and AC respectively. For each of the following cases show that DE||BC (i) AB=12 cm , AD=8 cm, AE=12 cm and AC=18 cm. (ii) AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE=1.8 cm.

In the figure, DE||BC, BD=x-3, BA=2x, CE=x-2, and AC=2x+3. Find the value of x.

If D and E, are the midpoints of the sides AB and AC of a triangle ABC, prove that vec(BE) +vec(DC)=(3)/(2)vec(BC).

If x=7+4sqrt3 then find the value of x+(1)/(x)

Point D and E are the points on sides AB and AC such athat AB = 5.6 , AD = 1.4 , AC =7.2 and AE = 1.8 . Show that DE||BC.

FULL MARKS-GEOMETRY-ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. A man sees the top of a tower in a mirror which is at a distance of 8...

    Text Solution

    |

  2. In Delta PQR , given that S is a point on PQ such that ST || QR and (...

    Text Solution

    |

  3. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

  4. In the figure , AC || BD and CE || DF . If OA = 12 cm, AB = 9cm , OC =...

    Text Solution

    |

  5. Check whether AD is bisector of angle Aof triangle ABC in each of the ...

    Text Solution

    |

  6. In a Delta ABC , AD is the internal bisector of angle A, meeting BC at...

    Text Solution

    |

  7. In the figure , tangent PA and PB are drawn to a circle with centre O ...

    Text Solution

    |

  8. ABCD is quadrilateral such that all of its sides touch a circle . If A...

    Text Solution

    |

  9. A man goes 10 m due east and then 24 m due north. Find the distance o...

    Text Solution

    |

  10. If in a Triangle ABC angleA = 80^o , angleB = 20^o what will angleC b...

    Text Solution

    |

  11. ABC is right - angled triangle at B. Let D and E be any two point on A...

    Text Solution

    |

  12. In figure O is any point inside a rectangle ABCD. Prove that OB^(2)+OD...

    Text Solution

    |

  13. A lotus is 20 cm above the water surface in a pond and its stem is par...

    Text Solution

    |

  14. In the figure , DE || BC and (AD)/(DB) = 3/5 , calculate the value of ...

    Text Solution

    |

  15. A boy is designing a diamond shaped kite , as shown in the figure wher...

    Text Solution

    |

  16. Find the unknown values in each of the following figures . All lengtha...

    Text Solution

    |

  17. The internal bisector of angle A of Delta ABC meets BC at D and the ex...

    Text Solution

    |

  18. ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to...

    Text Solution

    |

  19. D is the midpoint of the side BC of Delta ABC . If P and Q are points ...

    Text Solution

    |

  20. ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E...

    Text Solution

    |