Construct an equilateral triangle each of whose altitudes measures 5.4 cm.
Steps of Construction
1. Draw a line XY.
2. Mark any point P on it.
3. From P, draw PQ ⊥ XY.
4. From P, set off PA= 5.4 cm cutting PQ at A.
5. Construct ∠PAC=∠ PAB =30°, meeting XY at B and C respectively.
Therefore, ΔABC is required equilateral triangle.