To solve the problem, we start with the formula for the area of a triangle:

Area = (\frac{1}{2} \times \text{base} \times \text{height})

Assuming a typical scenario (common in such problems) where the base is 8 and height is (x) (or vice versa), we substitute the given area:

[24 = \frac{1}{2} \times 8 \times x]

Simplify:

[24 = 4x]

Solve for (x):

[x = \frac{24}{4} = 6]

Answer: (\boxed{6})

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