Question

The bar of the square pyramid shown has and area of 576 units. If the slant height of the pyramid is 29 units, what is the height of the pyramid?

Answer 1

Answer:

$\sqrt{697}$

Step-by-step explanation:

If the base of the square pyramid has an area of 576 units, then the side length must have a length of $\sqrt{576}=24$. 24/2=12, and using the pythagorean theorem you can find that the height of the pyramid is $\sqrt{29^2-12^2}=\sqrt{697}$. Hope this helps!