Pythagorean theorem in 3D.

Answer:
h = 6.2
Step-by-step explanation:
You need to find h.
The dashed triangle is a right triangle. 8 is the hypotenuse. h is a leg. The other leg is the half of the side of the base, 5.
[tex] 5^2 + h^2 = 8^2 [/tex]
[tex] h^2 + 25 = 64 [/tex]
[tex] h^2 = 64 - 25 [/tex]
[tex] h^2 = 39 [/tex]
[tex] h = \sqrt{39} [/tex]
[tex] h = 6.244998... [/tex]
[tex] h = 6.2 [/tex]