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Construction of a Triangle of a given Perimeter and Base Angles

Given : Perimeter AB + BC + CA = x cm, ABC = a and ACB = b, of a triangle ABC.

 Required: To construct the Δ ABC.

 


Steps of Construction:

  • Draw a line segment PQ such that PQ = AB + BC + CA.
  • Construct
  • Bisect and and these bisectors meet at the point .
  • Draw perpendicular bisector of which meets at .
  • Draw perpendicular bisector of which meets at .
  • Join and
  • is the required triangle.
     




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