Question

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

Explanation:

cos(30) = Adj/hyp

cos(30) = 6 /x

x = 6 / cos(30)

x = 6 / (
`√(3)`/ 2)

x = 12 /
`√(3)`

( 12 /
`√(3)` )^2 = 6^2 + y^2

( 12 /
`√(3)` )^2 - 36 = y^2

144/3 -36 = y^2

48-36=y^2

12 = y^2

`√(12)` = y