Answer:
value of y is 2√2
C is the correct option.
Explanation:
We can use Pythagoras theorem to find the value of y.
In triangle ABC, using Pythagoras theorem
BC² = AB² + AC²
(8+1)² = 3² + z²
9² = 9 + z²
z² = 81-9
z² = 72
Now, apply Pythagoras theorem in triangle ADC
AC² = AD² + DC²
z² = y² + 8²
Plugging the value of z
72 = y² +64
y² = 72 -64
y² = 8
y = 2√2
Therefore, value of y is 2√2
C is the correct option.