Class 9 Maths Constructions Construct a triangle

Construction 6: To construct a triangle, given its perimeter and its two base angles.

 Steps of Construction:

  1. Draw a line segment, say XY equal to BC + CA + AB.
  2. Make angles LXY equal to ∠B and MYX equal to ∠C.
  3. Bisect ∠LXY and ∠ MYX. Let these bisectors intersect at a point A .
  4. Draw perpendicular bisectors PQ of AX and RS of AY.
  5. Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC . Then ABC is the required triangle.

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