the square base of the pyrmiad has an area of 144 square feet. if the slant height of the pyrimad is 10 feet what is the height of the pyrimad

8 ft

Step-by-step explanation:

The side length of the base is the square root of the area of the square, so is 12 ft. Then the distance from the center of one side to the center of the square base is 6 ft, The height of the pyramid completes a right triangle with side 6 ft and hypotenuse 10 ft. Then the height is given by the Pythagorean theorem as ...

height = √ ((10 ft) ^2 - (6 ft) ^2) = √ (64 ft^2)

height = 8 ft