Question

HELP ASAP PLEASE Some of the measurements of the triangular prism with a right triangle base are shown.

What is the length of the hypotenuse of the base?

Answer 1

4*sqrt(2)

Explanation:

lets use Pythagorean Theorem

a^2+b^2=c^2

4^2+4^2=c^2

16+16=c^2

32=c^2

|c|=sqrt(32)

|c|=sqrt(4*4*2)

|c|=4*sqrt(2)

c= ±4*sqrt(2)

since distance can't be negative, the answer is +4*sqrt(2) or just 4*sqrt(2)