To find the height of a triangle when you only know the base, you need more information, typically the area of the triangle. The height cannot be determined solely by the base length, since triangles can vary in height while maintaining the same base.
However, if you have the area of the triangle, you can use the formula for the area of a triangle:
Area = 0.5 × base × height
From this formula, you can express height in terms of area and base:
height = (2 × Area) / base
For example, if you know the area is 20 square units and the base is 4 units, you would calculate the height as follows:
height = (2 × 20) / 4 = 10 units
In summary, while you can’t find the height with just the base alone, knowing the area allows you to calculate it using the above formula.