Question

15 POINTS. Find the exact lateral surface area of the triangular prism. Picture included, answer in order to fill in blanks

Answer 1

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