Question
Apply the Pythagorean Theorem to determine the height of the square pyramid, h . Round the answer to the nearest tenth.
Answers
Answered by
GPT 3.5
To apply the Pythagorean Theorem to determine the height of a square pyramid, we need to know the lengths of the base and the slant height. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides.
In the case of a square pyramid, the slant height is the hypotenuse, and the base of the pyramid is the other two sides of the right triangle. Therefore, if we know the length of the base (b) and the slant height (s), we can determine the height (h) using the Pythagorean Theorem:
h = sqrt(s^2 - (b/2)^2)
Here, b is the length of one side of the square base, and s is the length of the slant height.
To round the answer to the nearest tenth, plug the values of b and s into the formula and calculate h, then round the result to the nearest tenth.
In the case of a square pyramid, the slant height is the hypotenuse, and the base of the pyramid is the other two sides of the right triangle. Therefore, if we know the length of the base (b) and the slant height (s), we can determine the height (h) using the Pythagorean Theorem:
h = sqrt(s^2 - (b/2)^2)
Here, b is the length of one side of the square base, and s is the length of the slant height.
To round the answer to the nearest tenth, plug the values of b and s into the formula and calculate h, then round the result to the nearest tenth.