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george27212
18.06.2020 •
Mathematics
A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyramid is 88.2 in. What is the height of the pyramid?
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Ответ:
Step-by-step explanation:
We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle
the slant height is equivalent to the hypotenuse
the height is equivalent to the opposite
while the base(half) is the adjacent
Given
the base of the pyramid=![22.2 in](/tpl/images/0688/5133/3ea46.png)
the adjacent is =![\frac{22.2}{2} = 11.1 in](/tpl/images/0688/5133/296c3.png)
the slant height (hypotenuse)=![88.2 in](/tpl/images/0688/5133/581e2.png)
we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').
substituting we have
Ответ: