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<h2>The height is 87.5 in</h2>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=
the adjacent is =
the slant height (hypotenuse)=
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