Answer:
b = 4 sqrt(2)
Explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 6^2
4 + b^2 =36
Subtract 4 from each side
4-4 + b^2 = 36-4
b^2 = 32
Take the square root of each side
sqrt(b^2) = sqrt(32)
b = sqrt(32)
b = sqrt(16*2)
We know that sqrt(x*y) = sqrt*x) sqrt(y)
b = qrt(16)sqrt(2)
b = 4 sqrt(2)