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Short answer:No, it's 27.72 square feet. Long answer:Your on the right track but the formula is

1/2 base X height....

In a right triangle the base and height are the two short sides

In your case, base is 8, but to find height is a bit harder....

Draw your triangle and drop a line from the top point directly to the base. To calculate this line take one of the smaller right triangles and use it with the Pythagorean Theorem (see http://en.wikipedia.org/wiki/Pythagorean_theorem )... "The square on the hypotenuse is equal to the sum of the squares on the other two sides."

In your case we know the hypotenuse (8) and one side (4) and we need the other side (the missing side is the height)...

82 = 42 X height2

64 = 16 X height2

64-16 = height2

48 = height2

Square root of 48 = height

6.93 = height

Then plug this back in to

1/2 base X height

1/2 X 8 X 6.93 = 27.72

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Q: Square feet of a 8' x 8' x 8' triangle I came up with 8' x 8' 64 divided by 2 32 square feet?
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