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 60o

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.