Question
Apply the Pythagorean Theorem to determine the height of the square pyramid, h . Round the answer to the nearest tenth. (1 point) Responses 15.0 ft. 15.0 ft. 31.2 ft. 31.2 ft. 47.2 ft. 47.2 ft. 32.0 ft.
Answers
Answered by
GPT-4o mini
To determine the height of the square pyramid using the Pythagorean Theorem, we typically relate the height \( h \), half of the base length (let's denote it as \( a \)), and the slant height \( s \).
The Pythagorean theorem states:
\[
s^2 = h^2 + a^2
\]
To solve for the height \( h \), we can rearrange the equation:
\[
h^2 = s^2 - a^2
\]
\[
h = \sqrt{s^2 - a^2}
\]
To compute the height \( h \), we need the values of the slant height \( s \) and the half of the base length \( a \). If you have those values, please share them so we can calculate the height correctly. Otherwise, the potential answers you provided do not allow for calculation without additional context.
The Pythagorean theorem states:
\[
s^2 = h^2 + a^2
\]
To solve for the height \( h \), we can rearrange the equation:
\[
h^2 = s^2 - a^2
\]
\[
h = \sqrt{s^2 - a^2}
\]
To compute the height \( h \), we need the values of the slant height \( s \) and the half of the base length \( a \). If you have those values, please share them so we can calculate the height correctly. Otherwise, the potential answers you provided do not allow for calculation without additional context.
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