Answer:
[tex]y = \sqrt{6} [/tex]
or
[tex]y = 2.4494897428[/tex]
Step-by-step explanation:
We know value of x is
[tex]2 \sqrt{3} [/tex]
or 3.46410161
Using pythagorean theorem,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2 \sqrt{3} }^{2} + {y}^{2} = {4 \sqrt{3} }^{2} [/tex]
[tex]6 + {y}^{2} = 12[/tex]
Subtract 6 from 12
[tex] {y}^{2} = 6[/tex]
Square root 6 to get value of y
[tex] \sqrt{6} [/tex]
Answer:
[tex]y = \sqrt{6} [/tex]
or
[tex]y = 2.4494897428[/tex]
