Question

Find the value of y.

Answer 1

Answer:

$y=16$

Step-by-step explanation:

The triangle shown is a 30-60-90 triangle. In a 30-60-90 triangle, the shortest leg equals $x$, the hypotenuse equals $2x$, and the longest leg equals $x\sqrt{3}$.

We are given that the shortest leg equals $8$, 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:

$y=2x$

$y=2(8)$

$y=16$

Hope this helps!