a right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet.\nwhat is…
a right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet.\nwhat is the height of the pyramid?\n4 feet\n8 feet\n12 feet\n16 feet
Answer
Explanation:
Step1: Find half the base edge
Half of 24 feet is $\frac{24}{2}=12$ feet.
Step2: Use Pythagorean theorem
Let $h$ = pyramid height, slant height = 20 ft, half base = 12 ft. $$h = \sqrt{20^2 - 12^2}$$ $$h = \sqrt{400 - 144}$$ $$h = \sqrt{256}$$ $$h = 16$$
Answer:
16 feet