Surface area of a square pyramid is 160cm^2. The area of the lateral triangles is 96cm^2. What is length of one of the sides.

Let the side length of the square base be represented by s.

The total surface area of the square pyramid is given by:
Surface area = Area of base + Area of 4 lateral triangles
160 = s^2 + 4(96)
160 = s^2 + 384
s^2 = -224
s = √224
s ≈ 14.97 cm

Therefore, the length of one of the sides of the square base is approximately 14.97 cm.