To find the height of a triangle when the area and the base are known, we can use the formula for the area of a triangle:
Area = (Base x Height) / 2
In this case, we know the area is 30 square units and the base is 12 units. We can rearrange the formula to solve for the height:
Height = (Area x 2) / Base
Plugging in the values we have:
Height = (30 x 2) / 12
Height = 60 / 12
Height = 5
Therefore, the height of the triangle is 5 units.
This means that if you draw a line from the top vertex of the triangle straight down to the base, that line would measure 5 units in length.