Q5 of 33 Page 11

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

                                              
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.

More from this chapter

All 33 →
3 Construct a triangle ABC where base BC = 6.5 cm, CA + AB = 10 cm and ∠B = 60°. 4  Construct a triangle ABC in which BC = 4.5 cm,  ∠B = 45° and AB – AC = 2.5 cm. 6 Construct a triangle ABC whose perimeter is 12 cm, ∠B = 60°  and ∠C = 45°. 7 Construct a triangle ABC with perimeter 10 cm and each base angle is of 45°.