Question

The Great Pyramid of Giza has a square base which measures 230m on each side. The slant height of the lateral faces of the pyramid is 187 m. If the pyramid's height is not given, what is the most likely height of the Great Pyramid of Giza?

Answer 1

The most likely height of the Great Pyramid of Giza is 187 meters.

Step-by-step explanation:

To find the most likely height of the Great Pyramid of Giza, we can use the concept of similar triangles.

The slant height of the pyramid forms the height of a right triangle, with the side length of the base forming the base of the triangle. We can set up a proportion to find the height:

(height of pyramid) / (slant height of pyramid) = (base of pyramid) / (side length of base)

Plugging in the given values, we get:

(height of pyramid) / 187m = 230m / 230m

Simplifying and solving for the height, we get:

(height of pyramid) = 187m

Therefore, the most likely height of the Great Pyramid of Giza is 187 meters.