Answer:
Height is 60 inches.
Explanation:
The colored triangle that stands in the center of the pyramid is a right triangle. The side of the pyramid is 64, so the bottom edge of the colored triangle is 32. That 32 inch side is a leg of the right triangle. The other length given is the hypotenuse, 68 inches. We can use Pythagorean theorem.
x^2 + 32^2 = 68^2
x^2 + 1024 = 4624
x^2 = 4624 - 1024
x^2 = 3600
square root both sides.
x = 60