Answer:
Step-by-step explanation:
The sides of a triangle are 6cm, 6cm, and 4cm.
According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.
So,
6+6=12>4
6+4=10>6
4+6=10>6
Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.