EL A square pyramid has a slant height of 10 ft, represented by s on the diagram. The length of a side of its base is 12 ft, and

Question

EL A square pyramid has a slant height of 10 ft,
represented by s on the diagram. The length of
a side of its base is 12 ft, and q is half of a side
of the base. What is the height of the pyramid?
Round to the nearest thousandth, if necessary.
(Hint: Use the Pythagorean theorem to find the height
of the pyramid)
S
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Ngọc Khuê 6 months 2021-09-01T10:33:57+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-09-01T10:35:34+00:00

    Answer:

    8 ft

    Step-by-step explanation:

    Pythagorean theorem: the height of the pyramid, half of the base, and slant height make a right triangle

    s = 10 ft

    q = 6 ft

    h = ?

    s is the hypotenuse

    6^2+h^2 = 10^2\\\\36+h^2=100\\\\h^2=64\\

    take the square root of 64:

    h = 8

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