find the slant height of the square pyramid,15 units high, 16 units wide
To find the slant height of a square pyramid, you can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle created by the height and half the width of the base.
Given:
Height (h) = 15 units
Width of base (w) = 16 units
First, calculate half the width of the base:
w/2 = 16 / 2 = 8 units
Next, use the Pythagorean theorem to find the slant height (s):
s² = h² + (w/2)²
s² = 15² + 8²
s² = 225 + 64
s² = 289
Finally, take the square root of both sides to find the slant height (s):
s = √289
s = 17 units
Therefore, the slant height of the square pyramid is 17 units.