Answer:
[tex]y=16[/tex]
Step-by-step explanation:
The triangle shown is a 30-60-90 triangle. In a 30-60-90 triangle, the shortest leg equals [tex]x[/tex], the hypotenuse equals [tex]2x[/tex], and the longest leg equals [tex]x\sqrt{3}[/tex].
We are given that the shortest leg equals [tex]8[/tex], and we are solving for the hypotenuse length. If we apply the relationship that the hypotenuse is twice the length of the shortest leg, we get:
[tex]y=2x[/tex]
[tex]y=2(8)[/tex]
[tex]y=16[/tex]
Hope this helps!
