Answer:
3cm < L < 15cm
Explanation:
Given :
Side lengths:
Side 1 = 6cm and side 2 = 9cm
In other to construct a valid triangle, the length of the third side must lie in between.
That is ;
Minimum length must be greater than :
(side 2 - side 1)
9cm - 6cm = 3cm
Maximum length must not exceed :
(side 1 + side 2)
9cm + 6cm = 15cm
Hence, for a valid length for the 3rd side, L:
L > 3cm and L < 15 cm
3cm < L < 15cm