Question

PLEASE HELP IMMA FAIL

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) =c

Explanation:

The base is the triangle

We can use the Pythagorean theorem to solve

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

4^2 + 4^2 = c^2

2 * 4^2 = c^2

Take the square root of each side

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

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

4 sqrt(2) =c