Question

Find the value of y.

Answer 1

y =
`(4√(3) )/(3)`

Explanation:

We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.

You can get that by finding the smaller value of the larger triangle.

`(8)/(√(3) ) =(x)/(1)`

x
`√(3)` = 8

x =
`(8)/(√(3) )`

x =
`(8√(3) )/(3)`

That is the hypotenuse of the smaller triangle. To find y...

`(((8√(3) )/(3)) )/(2) =(y)/(1)`

2y =
`(8√(3) )/(3)`

y =
`(4√(3) )/(3)`

Hope this helps!