The area of a triangle is defined by the formula [tex]A = \frac{1}{2} \times \text{base} \times \text{height}[/tex]. Given that the area ([tex]A[/tex]) is 36 and the base is 6, we can use the formula to find the height ([tex]h[/tex]).

1. [tex]36 = \frac{1}{2} \times 6 \times \text{height}[/tex]

2. Simplify the equation: [tex]36 = 3 \times \text{height}[/tex]

3. Divide both sides by 3: [tex]\text{height} = \frac{36}{3}[/tex]

4. Calculate: [tex]\text{height} = 12[/tex]

So, the height of the triangle is 12 units.