Q. 54.4( 5 Votes )

Construct a triangle ABC where BC = 5 cm, ∠B = 30° and AC - AB = 2 cm.

Answer :

                                              
Steps of Construction
1. Draw a ray BX and cut off a line segment BC = 5 cm from it.
2. Construct a ray BY making an angle of 30o with BC and produce YB to form a line YBY'.
3. Cut off a line segment BD' = 2 cm from BY'.
4. Join CD'.
5. Draw perpendicular bisector RS of CD' intersecting BY at a point A.
6. Join AC.
Then, ABC is the required triangle.

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