Question

Using ruler and compasses only, construct a ∆ABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.

Answer 1

Steps of construction: 

1. Draw a line segment BC of 7 cm 

2. At B, draw an angle XBC of 60^o 

3. With center B and radius 12 cm draw an arc which intersects BX at D. 

4. Join DC 

5. Draw the perpendicular bisector of DC which intersects BD at A. 

6. Join AC 

∆ABC is the required triangle.