Answer:
The perimeter of the base is 13.1 centimeters
Step-by-step explanation:
we know that
The surface area of a triangular prism is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the triangular base
P is the perimeter of the triangular base
h is the length of the prism
we have
[tex]SA=117.3\ cm^2\\B=6.25\ cm^2\\h=8\ cm[/tex]
substitute in the formula
[tex]117.3=2(6.25)+P(8)[/tex]
solve for P
[tex]P(8)=117.3-12.50\\8P=104.8\\P=13.1\ cm[/tex]
