Apply the pythagorean theorem to determine the height of the square pyramid h. Round the answer to the nearest hundreth

1 answer

To apply the Pythagorean theorem to determine the height of a square pyramid, we need to utilize the right triangle formed by the height (h), the base of the pyramid (b), and half of the length of one of the sides of the base (s/2).

According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Therefore, we can set up the equation:

h² = (s/2)² + b²

Now, we can solve for h.