Answer:
[tex]Area = \frac{1}{2} L B[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the formula of one of the triangular sections
From the attachment, we have that:
[tex]L = Length[/tex]
[tex]B = Height[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * L * B[/tex]
[tex]Area = \frac{1}{2} L B[/tex]
How to know the formula works?
From the attachment, we can see that the rectangle is divided into two equal triangular sections.
The area of the rectangle is:
[tex]Area = L* B[/tex]
[tex]Area = LB[/tex]
Because the rectangle is divided into two equal triangular sections.
This implies that, the area of one of the triangular sections is half the area of the rectangle.
So:
[tex]Area(Triangle) = \frac{1}{2}Area(Rectangle)[/tex]
Substitute LB for the area of the rectangle
[tex]Area(Triangle) = \frac{1}{2}LB[/tex]
By comparison:
[tex]Area(Triangle) = \frac{1}{2}LB[/tex] and [tex]Area = \frac{1}{2} L B[/tex] are the same
