The expression [tex]\frac{1}{2} b h[/tex] gives the area of a triangle, where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height of the triangle.

What is the area, in square centimeters, of a triangle with a base of 7 centimeters and a height of 4 centimeters?



Answer :

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.