We’ll use the Pythagorean Theorem since we are given a right triangle.
a²+b²=c²
Substitute the values in for a and b, and we’ll solve for c (hypotenuse).
(8)²+(8)²=c²
Simplify:
64+64=c²
128=c²
Take the positive square root of both sides:
√128=√c²
Simplify:
(√2•64)=c
Apply the multiplicative radical rule:
√2•√64=c
√2•8=c
c=8√2
So, your answer is: 8√2