Answer:
[tex]LA=162\ in^2[/tex]
Step-by-step explanation:
we know that
The lateral surface area of the triangular prism of the figure is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the triangular base
h is the height of the prism
Find the perimeter of the base P
[tex]P=8+7+12=27\ in[/tex]
we have
[tex]h=6\ in[/tex]
substitute in the formula of lateral area
[tex]LA=27(6)=162\ in^2[/tex]
