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.
To find the length of one of the sides of the square base of the pyramid, we first need to find the area of the base.
The total surface area of a square pyramid is given by the formula:
Surface Area = B + 4s
Where B is the area of the base, s is the slant height of the pyramid, and 4s is the sum of the areas of the lateral faces.
Given that the total surface area is 160 cm^2 and the area of the lateral triangles is 96 cm^2, we can set up the equation:
160 = B + 96
160 - 96 = B
64 = B
Now that we know the area of the base is 64 cm^2, we can find the length of one of the sides of the square base by taking the square root of the area:
Side length = √64
Side length = 8 cm
Therefore, the length of one of the sides of the square base of the pyramid is 8 cm.