To find the height of a triangle when you know the area and the length of the base, you can use the formula for the area of a triangle.
The area (A) of a triangle can be calculated using the formula:
A = (base * height) / 2
In this case, you have:
- Area (A) = 30 square units
- Base = 12 units
Now, plug the values into the formula:
30 = (12 * height) / 2
To eliminate the fraction, multiply both sides by 2:
60 = 12 * height
Now, to find the height, divide both sides by 12:
height = 60 / 12
Calculating that gives:
height = 5
Thus, the height of the triangle is 5 units.