Question
Using rulers and compasses only, construct a $\triangle\text{ABC},$ given base BC = 7cm, $\angle\text{ABC}=60^\circ,$ and AB + AC = 12cm.
✓
Answer
Steps of Construction:
- Construct a line segment BC of 7cm.
- At the point B, draw $\angle\text{XBC}=60^\circ$
- Keeping B as centre and radius 12cm draw an arc which intersects XB at D.
- Join DC.
- Draw the perpendicular bisector of DC which intersects DB at A.
- Join AC.
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