Question 469356
Use Pythagorean theorem:
a^2 + b^2 = c^2
To find the hypotenuse of this triangle, solve for c:
{{{c^2 = (8sqrt(6))^2 + (8sqrt(2))^2}}}
{{{c^2 = (64*6) + (64*2)}}}
{{{c^2 = 8*64}}}
Take square root of both sides
{{{c = sqrt(8)*sqrt(64)}}}
{{{c = 8sqrt(8)}}}
{{{c = 8sqrt(4)*sqrt(2)}}}
{{{c = 16sqrt(2)}}}