Question:
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
Solution:
Steps of construction:
1. Draw a line segment BC of 6 cm.
2. Take mid-point O of side BC.
3. With center B and D and radii 6cm and 4cm, draw two arcs which intersect each other at A.
4. Join AB, AD and AC.
Hence △ABC is the required triangle.