Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
