To find the area of a triangle, we use the formula:
[tex]\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\][/tex]
Given that the base \( b \) of the triangle is 7 centimeters and the height \( h \) is 4 centimeters, we can substitute these values into the formula.
[tex]\[
\text{Area} = \frac{1}{2} \times 7 \, \text{cm} \times 4 \, \text{cm}
\][/tex]
First, multiply the base by the height:
[tex]\[
7 \, \text{cm} \times 4 \, \text{cm} = 28 \, \text{cm}^2
\][/tex]
Next, multiply this result by \(\frac{1}{2}\):
[tex]\[
\frac{1}{2} \times 28 \, \text{cm}^2 = 14 \, \text{cm}^2
\][/tex]
Therefore, the area of the triangle is [tex]\( 14 \)[/tex] square centimeters.