Class 9 Maths Constructions Construct a triangle

Some Constructions of Triangles

Construction 4: To construct a triangle, given its base, a base angle and sum of other two sides.

Steps of Construction:

  1. Draw the base BC and at the point B make an angle, say XBC equal to the given angle.
  2. Cut a line segment BD equal to AB + AC from the ray BX.
  3. Join DC and make an angle DCY equal to ∠BDC.
  4. Let CY intersect BX at A. Then, ABC is the required triangle

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