15 points. find the exact lateral surface area of the triangular prism. picture included, answer in order to fill in blanks

Hmm, not sure
let me solve to make sure

so the lateral area=4*8+6*8+?*8
the ? is the hyptoonuse
remember
a^2+b^2=c^2
4^2+6^2=c^2
16+36=c^2
52=c^2
sqrt both sides
2√13=c

so

LA=4*8+6*8+8*2√13=
32+48+16√13=
80+16√13

the first blank is 80
2nd is 26
3rd is 13