An architect designs a museum cap in the form of a regular right square pyramid. If the slant height is 13 m and each side of the square base is 10 m, what is the vertical height of the pyramid?
Show answer & explanation
Correct answer: B
Explanation
given :
Slant height (l) = 13 m
side of base = 10 m
According to the formula:
l² = h² + (a/2)²
a/2 = 10/2 = 5
13² = h² + 5²
169 = h² + 25
h² = 169 − 25
h² = 144
h = 12
Vertical height = 12 m