To find the area of a triangle, we use the formula:
[tex]\[
\text{Area} = \frac{1}{2} \times b \times h
\][/tex]
Here, [tex]\( b \)[/tex] is the base of the triangle, and [tex]\( h \)[/tex] is the height of the triangle. We are given that the base [tex]\( b \)[/tex] is 7 centimeters, and the height [tex]\( h \)[/tex] is 4 centimeters. Let's substitute these values into the formula and calculate the area step-by-step.
1. First, write down the formula with the given values:
[tex]\[
\text{Area} = \frac{1}{2} \times 7 \times 4
\][/tex]
2. Next, multiply 7 by 4:
[tex]\[
7 \times 4 = 28
\][/tex]
3. Then, take half of this result (since we need to multiply by [tex]\(\frac{1}{2}\)[/tex]):
[tex]\[
\frac{1}{2} \times 28 = 14
\][/tex]
Therefore, the area of the triangle is [tex]\( 14 \)[/tex] square centimeters.
So, the area of the triangle is:
[tex]\[
\boxed{14}
\][/tex]
