Answer:
27.5 mm
Step-by-step explanation:
Let the side length of each of the side of the base of the pyramid be a, hence:
perimeter of square = 4a
80 = 4a
a = 20 mm.
The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.
r = 10 mm
The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:
r² + h² = s²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.748 mm
The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.
