Question
Construct a $\triangle\text{ABC}$ in which BC = 3.4cm, AB - AC = 1.5cm and $\angle\text{B}=45^\circ.$

Answer


Steps of Construction:
  1. Construct a line segment BC of 3.4cm.
  2. At the point B, draw $\angle\text{XBC}=45^\circ$
  3. Keeping B as centre and radius 1.5cm draw an arc which intersects XB at D.
  4. Join DC.
  5. Draw the perpendicular bisector of DC which intersects DB at A.
  6. Join AC.
Hence $\triangle\text{ABC}$ is the required triangle.

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