The Transamerica Pyramid in San Francisco is shaped like a square pyramid. It has a slant height of 856.1 feet and each side of its base is 145 feet
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To find the height of the Transamerica Pyramid, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled 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.
In this case, the slant height of the pyramid is the hypotenuse, and the height (which we want to find) is one of the other two sides. The base of the pyramid is the other side.
Let's call the height of the pyramid "h", and we can use the formula:
h^2 = (slant height)^2 - (base)^2
In this case, the slant height is 856.1 feet, and the base is 145 feet. Plugging these values into the formula:
h^2 = (856.1 feet)^2 - (145 feet)^2
Calculating this equation will give us the value of h^2. To find the height, we take the square root of h^2:
h = √(h^2)
By substituting the values and solving the equation, we can find the height of the Transamerica Pyramid.