Question

Find the value of y.

Answer 1

`y=16`

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√(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!