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 heigh

Question

VMariaS [17]

2 years ago

15

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 heigh

t of the pyramid?

Mathematics

1 answer:

Aloiza [94] · Answer 1 · 2022-07-13T05:50:23+03:00

Aloiza [94]2 years ago

8 0

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!