Home
Class 9
MATHS
Construct a triangle ABC in which BC = 8...

Construct a triangle ABC in which BC = 8cm, `angleB=45^@` and AB - AC = 3.5 cm.

Text Solution

Verified by Experts

Given that, in `DeltaABC`,
BC = 8 cm, `angleB = 45^(@)` and AB - AC = 3.5 cm
Steps of construction :
1. Draw the base BC = 8 cm
2. At the point B make an `angleXBC = 45^(@)`.
3. Cut the line segment BD equal to AB - AC = 3.5 cm from the ray BX.
4. Join DC.
5. Draw the perpendicular bisector, say PQ of DC.
Let it intersect BX at a point A.
7. Join AC.
Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|36 Videos
  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos
  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|11 Videos

Similar Questions

Explore conceptually related problems

Construct a triangle ABC in which BC = 7cm, angleB=75^@ and AB + AC = 13 cm.

Construct a DeltaABC in which BC = 5.7 cm, angleB = 45^(@) and AB + AC = 8.2 cm.

Construct a DeltaABC in which BC = 4 cm, angleB = 60^(@) and AB + AC = 6.5 cm.

Construct a triangle ABC in which BC = 8 cm, angle B = 45° and angle C = 30° Construct another triangle similar to Delta ABC such that its sides are 3/4. of the corresponding sides of Delta ABC.

Construct a DeltaABC in which BC = 4.8 cm, angleB = 60^(@) and AC - AB = 1.4 cm.

Construct a triangle ABC in which BC =5 cm, angle B = 60^(@) and angle C = 45^(@).

Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.

Construct a triangle ABC, in which angleB=60^@ , angleC=45^@ and AB + BC + CA = 11 cm.

Construct a DeltaABC in which AB = 5.1 cm, angleB = 40^(@) and BC + AC = 7 cm.

Construct DeltaABC in which BC = 5.2 cm, angleB = 50^(@) and AC - AB = 2 cm.

NAGEEN PRAKASHAN ENGLISH-CONSTRUCTIONS-EXERCISE
  1. Construct a triangle ABC in which BC = 8cm, angleB=45^@ and AB - AC = ...

    Text Solution

    |

  2. Construct an angle of 90^(@) at the initial point of a given ray and j...

    Text Solution

    |

  3. Construct the following angles : (i) 60^(@) (ii) 30^(@) (iii) ...

    Text Solution

    |

  4. Construct the following angles : (i) 90^(@) (ii) 45^(@) (iii) ...

    Text Solution

    |

  5. Construct the following angles : (i) 67(1^(@))/(2) (ii) 22(1^(...

    Text Solution

    |

  6. Draw a line 6.5 cm long. Draw its perpendicular bisector.

    Text Solution

    |

  7. Construct a DeltaABC, when AB = 6.0 cm, BC = 8.0 cm, AC = 7.5 cm.

    Text Solution

    |

  8. Construct a DeltaABC, when AB = 3.6 cm, BC = 3.0 cm, angleB = 30^(@).

    Text Solution

    |

  9. Construct a DeltaABC, when AB = 5.2 cm, angleA = 30^(@) and angleB = 7...

    Text Solution

    |

  10. Construct a triangle ABC in which BC =5 cm, angle B = 60^(@) and angle...

    Text Solution

    |

  11. Construct an isosceles DeltaABC in which base BC = 5 cm and side AB = ...

    Text Solution

    |

  12. Construct an isosceles DeltaABC in which base BC = 5 cm and angleB = 6...

    Text Solution

    |

  13. Construct a right angled DeltaABC, right angled at A if hypotenuse BC ...

    Text Solution

    |

  14. Construct an equilateral triangle whose side is 5 cm.

    Text Solution

    |

  15. Construct an equilateral triangle whose altitude is 4 cm.

    Text Solution

    |

  16. Construct a DeltaABC in which AB = 5 cm, BC = AC cm angleA = 60^(@). D...

    Text Solution

    |

  17. Construct a DeltaABC in which AB = 5 cm, angle A = 60^(@) and angleB =...

    Text Solution

    |

  18. Construct a DeltaABC in which BC = 4 cm, angleB = 60^(@) and AB + AC =...

    Text Solution

    |

  19. Construct a DeltaABC in which AB = 5.1 cm, angleB = 40^(@) and BC + AC...

    Text Solution

    |

  20. Construct a DeltaABC in which angleA = 30^(@) and AB = 4.5 cm and AC -...

    Text Solution

    |

  21. Construct a DeltaABC in which BC = 4.8 cm, angleB = 60^(@) and AC - AB...

    Text Solution

    |