To find the simplified expression for the area of a triangle, let's break down the problem step by step:
1. Identify the formula for the area of a triangle:
The formula to calculate the area of a triangle is given by:
[tex]\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\][/tex]
Here, [tex]\( b \)[/tex] represents the base of the triangle and [tex]\( h \)[/tex] represents the height of the triangle.
2. Substitute the variables into the formula:
Given that the base is [tex]\( b \)[/tex] and the height is [tex]\( h \)[/tex], substituting these into the formula gives us:
[tex]\[
\text{Area} = \frac{1}{2} \times b \times h
\][/tex]
3. Simplify the expression:
To simplify the expression, we can rewrite it as:
[tex]\[
\text{Area} = 0.5 \times b \times h
\][/tex]
This step involves just expressing the fraction [tex]\(\frac{1}{2}\)[/tex] as the decimal 0.5.
4. State the final simplified expression:
The simplified expression to represent the area of the triangle is:
[tex]\[
0.5 \, b \, h
\][/tex]
Therefore, the expression that represents the area of this triangle is
[tex]\[
0.5 \, b \, h \, \text{cm}^2.
\][/tex]
