Answer:
y = 8√2
Explanation:
First, we can use the 30-60-90 triangle rule on the rightmost triangle. This states that:
- the hypotenuse is twice the short leg
- the long leg is √3 times the short leg
So, we can solve for the middle line (I will call it L) on this triangle:
L = 16 / 2
L = 8
Next, we can solve for y using the rule with 45-45-90 triangles:
- the legs are congruent
- the hypotenuse is √2 times the length of the legs
So, we can solve for y:
y = 8 · √2
y = 8√2