Question:
Using rulers and compasses only, construct a △ABC, given base BC = 7 cm, ∠ABC = 60°, AB + AC = 12 cm.
Solution:
Steps of Construction:
1. Construct a line segment BC of 7cm
2. At the point B, draw ∠XBC = 60°.
3. Keeping B as center and radius 12 cm 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 △ABC is the required triangle.
