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KIM [24]
3 years ago
10

The base of the square pyramid shown has an area of 576 square units. If the slant height of the pyramid is 20 units, what is th

e height of the pyramid?
18 units


13.4 units


16 units


31.2 units
Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

Option C - 16 units

Step-by-step explanation:

Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;

x² = 576

x = √576

x = 24

To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.

Since, we are told that the pyramid has a slant height of 20 units,

So using pythagoras theorem, we can find the height of the pyramid as;

h² = 20² - (24/2)²

h² = 400 - 144

h² = 256

h = √256

h = 16 units

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