Calculating Height of a Triangle
The area of a triangle is given by the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given:
- The area of the triangle \( A = 48 \, \text{cm}^2 \)
- The base of the triangle \( b = 12 \, \text{cm} \)
Now plug in the values and solve for the height \( h \):
\[ 48 = \frac{1}{2} \times 12 \times h \]
To find the height, perform the following steps:
\[ 48 = 6 \times h \]
\[ h = \frac{48}{6} \]
\[ h = 8 \]
The height of the triangle is \( 8 \, \text{cm} \).
